P(E₁) = P(E2) = P(E3)== 3. Also P(A/E)= 1, P(A/E2) 75 3 60 === 4 P(E3)= 100 100 miin 35 By Bayes' Theorem, P(E₁/A) = P(E₁) P(A/E₁) P(E,) P(A/E)+P(E,) P(A/E)+P(E2) P(A/E₂)
Q: A student takes a quiz that consists of three true false questions. If we consider about experiment…
A: The probability of getting a single question correct is .
Q: A box contains 2 green, 3 red and 4 yellow balls. If 3 balls are drawn at random, what is that…
A:
Q: The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what…
A: The objective of this question is to find the probability of drawing a king from a standard 52-card…
Q: Freelance reporter Irwin Fletcher is examining the historical voting records of members of the U.S.…
A: The following table has been provided.AntecedentConsequentSupport for A and CConfidenceLift…
Q: Given a normal distribution with muμequals=35 and sigmaσequals=66, find (a) the normal curve area…
A: The objective of this question is to find the areas under the normal curve for different values of…
Q: random sample of various types of detergents used according to the prescribed directions. For the…
A: Sample size n=12.Sample mean is equal to sum of observation diveded by number of observation.
Q: A report to Health Canada indicated that an intensive education program was used in an attempt to…
A: The objective of this question is to find the probability that 10 or less females have lung cancer…
Q: A random variable x has the following prob. function: S P(x-4) | |26|31|2|36|20 K 2K 3K K2 2K 4K²…
A:
Q: A box contains 20 blue balls, m yellow balls and n green balls and the probability of selecting a…
A:
Q: Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The…
A: To calculate the metrics, we will use the Single Server Queue Excel template with the given…
Q: Let P(x)= and let µ 10. Find P(8). X! P(8) = (Round to four decimal places as needed.)
A: x follows poisson distribution with parameter : poisson distribution formula : P(8) = ?
Q: that the heights of male students are normally distributed with a mean of 70.a inches and a…
A: The heights of male students are normally distributed.= 70.1= 2.1Formula in use:Z-score =
Q: x P(x) 0 0.2 1 0.05 2 0.15 3 0.6 Find the mean of this probability distribution. Round your answer…
A: xP(x)00.210.0520.1530.6Mean of the distribution = ?
Q: Consider the following probability distribution. xi P(X = xi) -2 0.2 -1 0.1 0 0.3 1 0.4 The expected…
A:
Q: A random sample of size 49 is taken from a normal population having a mean of 70 and a standard…
A: First group:Sample size Mean Standard deviation Second group:Sample size Mean Standard deviation The…
Q: of the people who fished at Clearwater Park today, 24 had a fishing license, and 16 did not. Of the…
A: Given,Number of people at Clearwater park had a fishing license, n(A) = 24Number of people at…
Q: Suppose you have an investment offer that guarantees an average investment gain of $5,000 per year.…
A: The objective of this question is to determine the average rate of change of an investment and to…
Q: 3.if A and B are two events such that P(AUB) = P(ANB) = and P(A) = 3, then P (B) is equal to a. 1/3…
A: The question is about probability.Given probabilities are as follows :
Q: P(X > 4), n=6,p=0.8
A: Let X be the discrete random variable.Given that,The PMF of X=x is,
Q: Statistically independent, zero-mean random process X(1) and Y(t) have autocorrelation functions and…
A: The autocorrelation function of the sum W(t) = X(t) + Y(t), where X(t) and Y(t) are independent…
Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…
A: Given,Mean, μ = 2.63 inches.Standard deviation, σ = 0.06 inch.Sample size, n = 11
Q: A 10-meter section of a busy downtown sidewalk is actually the platform of a scale that produces a…
A: The objective of the question is to identify the underlying random experiment for the process of…
Q: The finished inside diameter of a piston ring is normally distributed with a mean of 11centimeters…
A: The objective of the question is to find the proportion of rings with diameters exceeding a certain…
Q: A no-load mutual fund specializing in health care stocks has a portfolio of stocks with a market…
A: The objective of this question is to calculate the net asset value (NAV) per share of a mutual fund.…
Q: Let X denote the number of hours you study during a randomly selected school day. The probability…
A: Let X denotes the no. of hours you study during a randomly selected school dayP(X=x)=
Q: An article contained the following observations on degree of polymerization for paper specimens for…
A: The objective of this question is to calculate a two-sided 95% confidence interval for the true…
Q: A credit card bill for $655 was due on April 14. Purchases of $152.56 were made on April 19. The…
A: The objective of this question is to calculate the average daily balance on a credit card over a…
Q: You and 9 of your friends go on separate runs of the Monty Hall game show; you all know…
A: The objective of this question is to find the expected number of friends who will get the same prize…
Q: What is the appropriate conclusion for this test? OA. Reject Ho and conclude that the average…
A: The test statistic is -1.65. The critical region is or .
Q: Fraud detection has become an indispensable tool for banks and credit card companies to combat…
A: The data on transactions from a fraud detection firm is provided.It is assumed that the fraudulent…
Q: 6) In 7 card stud, 3 cards are dealt face down to each player: What is the probability that all 3 of…
A: No. of cards dealt face down to each player in car stud cards can be seen and with no aces.
Q: Statistically independent, zero-mean random process X(1) and Y(t) have autocorrelation functions and…
A: The objective of this question is to find the cross-correlation function of two random processes…
Q: You may need to use the appropriate appendix table or technology to answer this question. z is a…
A:
Q: Sketch a typical sample function for this process
A: The x-axis represents time over a 24-hour day.The y-axis represents the voltage output from the…
Q: If P(A)=.62, P(B) = .47, and P(AUB)=.88; then P(AB)= .1.970 b. 210 670 8291 B
A:
Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…
A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…
Q: If A and B are two independent events such that P(A) == and P(B) ==, then P (neither Anor B)is equal…
A:
Q: An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult…
A: The question is about normal distribution.Given :Population mean weight of males ( ) = 186…
Q: The following frequency table summarizes how many animals are surrendered to a local animal shelter…
A: The objective of this question is to calculate the experimental probability that a cat will be…
Q: distribution of X₁ is binomial
A: A multinomial distribution is defined as a generalization of binomial distribution. It is a type of…
Q: A small software company will bid on a major contract. It anticipates a profit of $200,000 if it…
A: Probability(p) = 0.30Now, we will make the following x200,0000P(X=x)0.300.70
Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…
A: P(use smartphone in meeting or classes) : p = 0.54sample size : n = 9x = Number of adults use…
Q: I need help with this please
A: The objective of this question is to find the probability that the sample mean computed from the 49…
Q: A six sided die is being rolled 15 times. This die is weighted so that on average a 5 is rolled six…
A:
Q: A random process is defined by X(t) = X₁ + Vt where Xo and V are statistically independent random…
A: Given-Mean of X0: 2X01+X02Mean of V: 2V1+V2The mean of X(t)…
Q: In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a…
A:
Q: The first statistics exam had a mean of 73 and a standard deviation of 15 points; the second had a…
A: From the provided information,Anna scored a 82 on both tests. Megan scored 92 on the first exam and…
Q: A certain tennis player makes a successful first serve 63% of the time. Suppose the tennis player…
A: The objective of this question is to find the mean and standard deviation of the number of…
Q: P,Q are independent events
A: Given,P(P)=10070P(Q)=10080 We know that if A and B are independent events, thenP(A∩B)=P(A)×P(B)…
Q: Find the probability that an individual selected at random will be a boy and prefer Fruity cereal.…
A: The objective of this question is to find the probability that a randomly selected individual will…
Find P(E1/A)
Step by step
Solved in 3 steps with 3 images
- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.P(A)= 0.23, P(B)= 0.46, P(A and B)= 0.15 Calculate P(A' and B)If P(A or B) = 0.801, P(B') = 0.33 and P(A and B) = 0.20. Find i) P(B) ii) P(A)
- P(A)=P(B)= 0.33, P(A or B) = 0.43 Find P(A and B')The equation of the normal line to the curve y = -Va that is parallel to -6x +y = 1 (A) y + 3 = -6(x-9) (B) y + 3 = 6(x - 9) %3D (C) y + 3 = 6(x + 9) (D) y – 3 = -6(x+ 9) (E) y - 3 = -6(x - 9)Find a curve fit y = f(x) = Cx-²e^x for the given Q1) a) data using data linearization. %3D b) Calculate E2(f). 1 2 3 4 Yk 2.718 | 1.850 | 2.232 | 3.410
- Estimate 1/112 using the linearization L(x) of f(x) = x−1 at a = 100. part a) L(112) = part b) Find the actual value of 1/112. (Round your answer to five decimal places.) part c) Calculate the percentage error of Linear Approximation. (Round your answer to three decimal places.)16) lg(lg.x)+lg(lgx – 1)=1,'5 7 Given f(x) dx : = 12 and f(x) dx = 4, evaluate %D 7. (a) f(x) dx. 0. (b) / f(x) dx. '5 (c) f(x) dx. (d) 2f(x) dx.
- If degree of freedom(df) = 20, find the t value(s) for α = 1.0% in two tails(lower and upper tail) ✡✎ +/-2.845 +/-2.145 +2.861 -2.861 If degree of freedom(df) = 2, find the t value for α = 5.0% in one tail( lower tail) ✡✎ -2.920 +2.920 -1.753 2.977 none of the above If degree of freedom(df) = 20, find the t value for α = 1.0% in one tail( lower tail) – 2.528 ✢✎ ☞ ✒✎✕✒✘ -2.539 + 2.539 If n = 20, find the t value for α = 0.5% in one tail (upper tail) 2.861 2.602 ✣✎ 2.977 2.947 none of the above Use the standard normal probability distribution table (Z) to find the following probabilities: P( Z < 1.2) 5871 5478 6543 8849 P( Z > 1.72) 0427 9573 9656 0344 P( Z < -0.42) 0778 9222 3372 6638 P( Z > - 0.42) 0778 9222 3322 6628 P( 2.28 < Z <3.28) 0778 9995 0108 9887 P( -1.20 < Z < 1 .04) 8508 7357 7457 9876 P( -1.52 < Z < -0.09) 0987 0643 0,3998 4641A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min ¹. (a) How fast is the coffee cooling (in degrees per minute) when its temperature is T = 71°C? Cooling at the rate = min (b) Use the Linear Approximation to estimate the change in temperature over the next 9s when T = 71°C. Estimated to cool = = °C over the next 9 s (c) The coffee is served at a temperature of 86°C. How long should wait before drinking it if the optimal temperature is 65°C? Waiting time = min you8. After p practice sessions, a student could perform a task in T (p) = 36(p + 1) 3 minutes. Find T'(7) and interpret your answer.
