as otherwise.) 3 If each voter is for Proposition A with probability .7, what is the probability that exactly 7 of 10 voters are for this proposition? left-handedness) of a person of genes, and suppose that d represente is classified on the basis of one pair dominant gene and r a recessive gene. Thus, a person with dd dominance, one with rr is pure recessive, and one with rd is hybrid. The dominance and the hybrid are alike in appearance. Children receive 1 genc fe each parent. If, with respect to a particular trait, 2 hybrid parents have a toral of 4 children, what is the probability that 3 of the 4 children have the outward genes is pure pure appearance of the dominant gene? 5. At least one-half of an airplane's engines are required to function in order for ir to operate. If each engine independently functions with probability p, for whar values of p is a 4-engine plane more likely to operate than a 2-engine plane? 6. Let X be a binomial random variable with E[X] =7__and Var(X) = 2.1 Find (a) P{X = 4}; (b) P{X> 12}. %3D 7. If X and Y are binomial random variables with respective parameters (n, p) and (n, 1- p), verify and explain the following identities: (a) P{X < i} = P{Y >n- i}; (a) P{X = k} = P{Y = n- k). 8. If X is a binomial random variable with parameters n %3D %3D %3D %3D and P, where 0 < p < l,

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Question 7

as
otherwise.)
3 If each voter is for Proposition A with probability .7, what is the probability that
exactly 7 of 10 voters are for this proposition?
left-handedness) of a person
of
genes,
and
suppose that d represente
is classified on the basis of one pair
dominant gene and r a recessive gene. Thus, a person with dd
dominance, one with rr is pure recessive, and one with rd is hybrid. The
dominance and the hybrid are alike in appearance. Children receive 1 genc fe
each parent. If, with respect to a particular trait, 2 hybrid parents have a toral
of 4 children, what is the probability that 3 of the 4 children have the outward
genes is
pure
pure
appearance of the dominant gene?
5. At least one-half of an airplane's engines are required to function in order for ir
to operate. If each engine independently functions with probability p, for whar
values of p is a 4-engine plane more likely to operate than a 2-engine plane?
6. Let X be a binomial random variable with
E[X] =7__and Var(X) = 2.1
Find
(a) P{X = 4};
(b) P{X> 12}.
%3D
7. If X and Y are binomial random variables with respective parameters (n, p) and
(n, 1- p), verify and explain the following identities:
(a) P{X < i} = P{Y >n- i};
(a) P{X = k} = P{Y = n- k).
8. If X is a binomial random variable with parameters n
%3D
%3D
%3D
%3D
and
P,
where 0 < p < l,
Transcribed Image Text:as otherwise.) 3 If each voter is for Proposition A with probability .7, what is the probability that exactly 7 of 10 voters are for this proposition? left-handedness) of a person of genes, and suppose that d represente is classified on the basis of one pair dominant gene and r a recessive gene. Thus, a person with dd dominance, one with rr is pure recessive, and one with rd is hybrid. The dominance and the hybrid are alike in appearance. Children receive 1 genc fe each parent. If, with respect to a particular trait, 2 hybrid parents have a toral of 4 children, what is the probability that 3 of the 4 children have the outward genes is pure pure appearance of the dominant gene? 5. At least one-half of an airplane's engines are required to function in order for ir to operate. If each engine independently functions with probability p, for whar values of p is a 4-engine plane more likely to operate than a 2-engine plane? 6. Let X be a binomial random variable with E[X] =7__and Var(X) = 2.1 Find (a) P{X = 4}; (b) P{X> 12}. %3D 7. If X and Y are binomial random variables with respective parameters (n, p) and (n, 1- p), verify and explain the following identities: (a) P{X < i} = P{Y >n- i}; (a) P{X = k} = P{Y = n- k). 8. If X is a binomial random variable with parameters n %3D %3D %3D %3D and P, where 0 < p < l,
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