The average salary for graduates entering the actuarial field is $63000.  If the salaries are  normally distributed with a standard deviation of $5000, what is the probability that an individual graduate will have a salary over $67000?

Q: The length of time it takes to find a parking space at 8am follows a normal distribution with a mean…

A: Solution

Q: The daily sales at a convenience store produce a distribution that is approximately normal with a…

A:

Q: A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way…

A:

Q: The amount of milk sold each day by a grocery store varies according to the Normal distribution with…

A:

Q: The average height of flowering cherry trees in a nursery is 10.5 feet.  If the heights are normally…

A: Mean = 10.5 Standard deviation = 1.5

Q: The lengths of time spent )in a store are normally distributed with an average of 50 minutes and a…

A:

Q: On the recent SAT English test, the scores were normally distributed with a mean of 1000 and a…

A: a. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: The monthly salaries of accountants in one region of the country are normally distributed with a…

A: Given Data Population Mean,μ = 49000 Population Standard Deviation,σ = 4500

Q: The average number of miles driven on a full tank of gas in a certain model car before its​ low-fuel…

A: It is given that the mean is 399 and the standard deviation is 36.

Q: The average monthly number of jobs available in Area A is 3, 000. If we assume a normal distribution…

A: We have given that,  X be the random variable from normal distribution with average or mean (μ) =…

Q: The average daily high temperature in June in LA is 77℉ with a standard deviation of 5℉. Suppose…

A: Solution: Let X be the LA’s temperatures in June. From the given information, X follows normal…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a an of 37…

A: 37 Obtain the standard z-score for the random variable equals 26.1 liters. The standard z-score for…

Q: The time for a professor to grade a homework in statistics is normally distributed with a mean of…

A:

Q: The time required to travel downtown at 10 a.m. on Monday morning is known to be normally…

A: Given: Meanμ=40 minutes Standard deviationσ=5 minutes The probability that time taken will be less…

Q: The time that people stand in the waiting line at a particular fast food restaurant is normally…

A:

Q: The life of a semiconductor laser at a constant power is normally distributed with a mean of 7500…

A:

Q: The average rainfall, recorded to the nearest hundredths of a cm, in Roanoke, Virginia for the month…

A:

Q: The diameter of the dot produced by a printer is normally distributed with a me 0.002 inch and a…

A: Given data,Mean μ=0.002sd     σ=0.0004

Q: Assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a…

A: GivenIt follows normal distribution with mean 0 and standard deviation 1For a randomly selected…

Q: In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A:

Q: The spending at Target is distributed normally with a mean spending of $45.67 and a standard…

A: According to the provided information, mean = $45.67  standard deviation = $5.50

Q: On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If…

A: Assume, X be the random variable representing the quantity of milk sold per day (in liters). It is…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A man height and weight  are nomally distributed with mean u= 70 inches and standard deviation a =…

A:

Q: Body temperatures of adults are normally distributed with a mean of 98.60◦ F and a standard…

A: Given that body  temperatures of adults are normally distributed with a mean of 98.60◦ F and a…

Q: The amount of time between taking a pain reliever and getting relief is nomally distributed with a…

A: Let "X" be the time between taking the medication and getting relief.

Q: Find the indicated probability. The weekly incomes of a summer intern in Tesla are normally…

A: Given data,Mean μ=1500sd    σ=300P(X<1200)=?

Q: The time it takes an acrylic paint to dry is normally distributed. If the mean is 2 hours 36 minutes…

A: Convert every information in minutes, so given that X , drying time, follows a normal distribution…

Q: Analysis of the number of tourists visiting Old Fort William reveals that the annual number of…

A:

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A:

Q: A Survey among Seniors revealed that the number of hours spent Studying the week before final exams…

A: Given Mean=25 Standard deviations=7

Q: The volumes of buttermilk in quart bottles are normally distributed with a mean of 32.3 oz and a…

A: Given, mean = 32.3 standard deviation = 1.2 x < 32 oz

Q: The weekly salaries of a group of employees are normally distributed with a mean of $800 and a…

A:

Q: The average price of a kilogram of ham is 1,300. Assume that the standard deviation is 150. If a…

A: given  average =μ= 1300 standard deviation=σ= 150 random sample= n = 30

Q: On average, weight of carry-on baggage of passengers on planes is 36.7 pounds. Assuming a standard…

A:

Q: The sick-leave time of employees in a firm in a month is normally with a f 100 hours and a standard…

A: Given  Mean (mu) = 100 hours Standard deviation = s= 20 hours

Q: The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002…

A: Given, μ=0.002σ=0.0004 X be a random variable that belongs the diameter of the dot produced by…

Q: The arrival schedule of an ETS train from Kuala Lumpur to Sungai Petani follows a normal…

A: Given: X~N(μ,σ)μ=0954σ=7.4 The train is expected to arrive at 0948.

Q: The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5…

A:

Q: male beluga whales have a mean weight of 1980 pounds with a standard deviation of 220 pounds.…

A:

Q: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Let X be the diameter of a brand of tennis balls which follows normal distribution with mean 2.53…

Q: The margin of error is larger if the standard deviation of the population increases (assume all else…

A: Given that, Standard deviation of the population increases.

Q: The life expectancy of a vital and expensive part of a machine is normally distributed with a mean…

A: Given: X~N(μ,σ)μ=50σ=16

Q: The monthly demand for a product is normally distributed, with a mean of 700 units and a standard…

A: Given: Mean μ=700 Standard deviation σ=200 Let X be the random variable. The formula for z-score is:…

Q: A local fast food restaurant advertises an average service time of u = 3 minutes with a standard…

A: Given Data : Population Mean,μ = 3 Population Standard Deviation,σ = 0.39

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.