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Heights of women have a bell shaped distribution

Question # 00621959
Subject: Statistics
Due on: 11/25/2017
Posted On: 11/25/2017 11:18 AM

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Calculating the Binomial Probability

1. Heights of women have a bell shaped distribution with a mean of 161cm and a standard deviation of 6cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 2 standard deviations of the mean? What are the minimum and maximum heights that are within 2 standard deviations of the mean?

2. Assume that a prodcure yields a binomial distrubtion with a trail repeated n times. Use a binomial probabilities table to find the probability of x successes given the probability p of success on a given trail.

n=2, x=2, p=0.70

P(2)=_____

3. A brand name has an 80% recognition rate. If the owner of the brand wants to vertify that rate by beginning with as small sample of 5 randomly selected consumers, find the probability that exactly 4 of the 5 consumers recognize the brand name. Also find the probability that the number who recognize the brand name is not 4.

4. Assume that a procedure yields a binomial distrubtion with n trails and the probability of success for one trail is p. Use the given values of n and p find the mean and standard deviation. Also use the range rule of thumb to find the mininum usual value ยต + 2?

N=190, p=0.25

Mean=____ Standard deviation=____

Tags distribution shaped bell women heights brand probability binomial standarddeviation rate distrubtion consumers standard mean women recognize given succe heights theprobability selected small vertify wants bybeginning exactly sample owner randomly aume usual mininum thumb value 2n190

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Heights of women have a bell shaped distribution

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