MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Assume the random variable x is
P(75 <x < 83)
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- Find the probability P(-0.77 < = < -0.16) using the standard normal distribution.arrow_forwardA normal distribution has a mean of 64 and a standard deviation of 7. Use the standard normal table to find the indicated probability for a random selected x-value from the distribution. P(x≤68) - P(x≤54)- P(x≥75)-arrow_forwardAssume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean μ and standard deviation σ. Also, use the range rule of thumb to find the minimum usual value μ−2σ and the maximum usual value μ+2σ.n=70, p=0.25Question content area bottomPart 1μ=enter your response here (Do not round.)Part 2σ=enter your response here (Round to one decimal place as needed.)Part 3μ−2σ=enter your response here (Round to one decimal place as needed.)Part 4μ+2σ=enter your response here (Round to one decimal place as needed.)arrow_forward
- Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 88 and 112. The probability that a randomly selected adult has an IQ between 88 and 112 is ________.arrow_forwardAssume the random variable x is normally distributed with mean μ=80 and standard deviation σ=5. Find the indicated probability. P(63<x<73)arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.arrow_forward
- The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 2 3 4 P(x) 0.1668 0.3412 0.2912 0.1495 0.0384 0.0129 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? E Click the icon to view the data tables. Compute the theoretical mean of the random variable X for the given probability distribution. Hx = hits (Round to three decimal places as needed.)arrow_forwardAssume a normal distribution tus u 80 and o 10. What is the probability of randomly selecting a score greater than 90 from this distribution? Op-0.6915 Op-0.1587 Op-0.8413 Op-03085arrow_forwardAssume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 77th percentile. The 77thpercentile is:arrow_forward
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