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alexgriva [62]
3 years ago
6

Question Help A manufacturer ships toasters in cartons of 1010. In each​ carton, they estimate a 1010​% chance that any one of t

he toasters will need to be sent back for minor repairs. What is the probability that in a​ carton, there will be exactly 33 toasters that need​ repair?
Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

P(X=x)=C(n,x)p^x(1-p)^{n-x}    x=0,1,2,......,n

               =0                                   elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}

                    =\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7

                    =0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

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Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,
MrRissso [65]

Answer:

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Step-by-step explanation:

In a deck of cart, we have:

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p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08

Therefore, the total probability of drawing an ace, a three and then a jack is:

p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}

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3 years ago
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<em>Answer:</em>

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