Of 42 bank accounts at small bank 20 accounts have values of

Of 42 bank accounts at small bank, 20 accounts have values of less than $1000 and the rest have values of at least $1000. Suppose 6 accounts are randomly sampled.

What is the probability that exactly 5 of the 6 accounts have values of at least $1000?

Please answer in demical form.

And explain why and such.

Solution

Of 42 bank accounts at small bank, 20 accounts have values of less than $1000 and the rest have values of at least $1000. Suppose 6 accounts are randomly sampled.

What is the probability that exactly 5 of the 6 accounts have values of at least $1000?

Please answer in demical form.

Binomial distribution used

p=P (at least $1000) =22/42=0.5238

n=6

P(X=x) = (nCx) px (1-p)n-x   

P(X=5) = (6C5) 0.52385(1-0.5238)6-5   

P(X = 5) = 0.1127

Of 42 bank accounts at small bank, 20 accounts have values of less than $1000 and the rest have values of at least $1000. Suppose 6 accounts are randomly sample

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