Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to theprobability shaded.P(57 ≤x≤67)Which of the following normal curves corresponds to P(57 ≤X ≤67)?A.50 57 67QQP(57≤x≤67)= (Round to four decimal places as needed.)B.50 57 67QQGloc.50 57 67QN

According to the given information in this question, we need to find the following probability

Answered: Assume the random variable X is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:
Explain how to decide when a normal distribution can be used to approximate a binomial distribution. Choose the correct answver below O A. If np 0 and nq > 0, the normal distribution can be used. O C. If np 5 and nq 5, the normal distribution can be used. O D. If np 2 5 and nq 5, the normal distribution can be used. Click to select your answer.
Private nonprofit four-year colleges charge, on average, $26,796 per year in tuition and fees. The standard deviation is $6,782. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 26796 6782 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 31,080 per year. Enter an integer or decimal number, accurate to at least 4 decimnal places [more..] c. Find the 75th percentile for this distribution. $ (Round to the nearest dollar.)
I need help with b and c
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(34 < X <60) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(34 < X<60)? O A. 34 50 60 O B. 34 50 60 ✔ O C. 34 50 60 N
Provide an appropriate response. 5) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores 5) are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 Assume that X has a normal distribution, and find the indicated probability. 6) The mean is µ = 137.0 and the standard deviation is a = 5.3. Find the probability that X is between 134.4 and 140.1. 6) 1 7) 7) The mean is µ = 60.0 and the standard deviation is o = 4.0. Find the probability that X is less than 53.0. 8) 8) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?
Sh9 Please help me.
Let the random variable X follow a normal distribution with u = 70 and o= 49. a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 55 and less than 80. c. Find the probability that X is less than 75. d. The probability is 0.3 that X is greater than what number? e. The probability is 0.07 that X is in the symmetric interval about the mean between which two numbers? Click the icon to view the standard normal table of the cumulative distribution function. ... a. The probability that X is greater than 80 is (Round to four decimal places as needed.)
R3
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 39 14 Subject Is Not a Drug User 2 36 Pre-Employment Drug Screening Results The probability of a false positive test result is (Round to three decimal places as needed.)
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