Where will you get your next pet? Refer to Exercise 4.52 (p. 186) and the Associated Press/Petside.com poll that revealed that half of all pet owners would get their next dog or cat from a shelter (USA Today, May 12, 2010). Consider a random sample of 500 pet owners and define x as the number of pet owners who would acquire their next dog or cat from a shelter. In Exercise 4.52, you determined that x is a binomial random variable.
a. Compute μ and σ for the probability distribution of x.
b. Compute the z-score for the value x= 240.
c. Compute the z-score for the value x= 270.
d. Use the technique of this section to approximate P(240<x< 270).
Where will you get your next pet? According to an Associated Press/Petside.com poll, half of all pet owners would get their next dog or cat from a shelter (USA Today, May 12, 2010). Consider a random sample of 10 pet owners and define x as the number of pet owners who would acquire their next dog or cat from a shelter. Assume that x is a binomial random variable.
a. For this binomial experiment, define a success.
b. For this binomial experiment, what is n?
c. For this binomial experiment, what is p?
d. Find P(x = 7).
e. Find P(x ≥3).
f. Find P(x >8).
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