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What is the probability of P(Z< -1.07)
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- In a Poisson distribution, μ = .36. (Round your answers to 4 decimal places.) (a)What is the probability that x = 1? Probability (b)What is the probability that x> 3? ProbabilityAccording to the U.S. Bureau of the Census, about 75% of commuters in the United States drive to work alone. Suppose 150 U.S. commuters are randomly sampled. (a) What is the probability that fewer than 105 commuters drive to work alone?(b) What is the probability that between 116 and 126 (inclusive) commuters drive to work alone?(c) What is the probability that more than 96 commuters drive to work alone?The state of California has a mean annual rainfall of 22 inches, whereas the state ofNew York has a mean annual rainfall of 42 inches (Current Results website, October 27,2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 yearsof rainfall for California and a sample of 45 years of rainfall for New York has been taken.a. Show the probability distribution of the sample mean annual rainfall for California
- ( e )Given that the population has a normal distribution with average equal to 60 and standard deviation of 40. Find the probability that: (i)P(x>/=120)(ii)P(10 </=X</=140)The life of button batteries is normally distributed with a mean of 68.1 hours and a standard deviation of 18 hours 936 of the button batteries will last more than how many hours? (2 decimal places)Question 16 The probability of an 60 year-old male living to 70 years old is equal to in 2019. (Art_13_07_B) 78.2% 85.3% 70.2% 087.2%
- using 'standard Normal Table ' , calculate the following probabilities. 1. Pr(z < -1.12) 2. Pr(z >2.32) 3.pr(1.22 < z >2.53) 4.pr(-3.22 < z < 0.22) 5.pr(-2.36 < z < -0.50)Please no written by hand solution Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.2, and 0.2, respectively, then what are the expected return and the standard deviation of the return on Kate❝s investment? Calculate the coefficient of variation for this investment. (Round expected return to 3 decimal places, e.g. 0.125 and round intermediate calculations and standard deviation to 5 decimal places, e.g. 0.07680.)a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) Define the random variable for this situation and list its values (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)State the conditions that influence your choice of distribution. (iv)Calculate the probability that at most 2 of the roses were Eden Roses. b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. (i) Define the random variable in this situation and list its values. (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)Compute the probability that 5 calls will arrive per minute. (iv)Compute the probability that 3 or more calls will arrive in a 3-minute interval?
- Suppose N = 15 and r = 4. What is the probability of x = 3 for n = 10 (to 4 decimals)? %3DThe number of major snowstorms (that shut down businesses) has a Poisson distribution with rate 0.4 per month Hom January through March. A restaurant buys an insurance policy to insure against losses. The policy pays nothing for the first major snowstorm that occurs in January through March, but pays $2,000 for every major snowstorm thereafter for that period up to $6.000. a) Find the probability there are 4 or more snow storms during the 3-month period. b) Find the expected amount paid by the policy during the 3-month period.aaaaaa A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 21 and 30 ounces? Round your answer to four decimal places.