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#1 X 0 1 2 3 P(x) .01 .15 .26 .58 (a) Find the probability of randomly selecting a household that has one or two

#1

X 0 1 2 3
P(x) .01 .15 .26 .58

(a) Find the probability of randomly selecting a household that has one or two televisions.

(b) Find the probability of randomly selecting a household that has two or more televisions.

(c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive.

(d) Find the probability of randomly selecting a household that has at most two televisions.

#2

Ratings 1 2 3 4 5
Probability .019 .081 .218 .234 .448

(a) Find the mean, variance, and standard deviation of the probability distribution.

(b) Interpret the results

#3 Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.

n=122, p=.57

#4 33% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.

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