A survey indicated that 10% of residents of a country have a great deal of confi

Question

A survey indicated that 10% of residents of a country have a great deal of confidence in banks. If 14 residents of the country were chosen at random, find the probability that at least 3 had a great deal of confidence in banks.
Round to four decimal places as needed. A survey indicated that 10% of residents of a country have a great deal of confidence in banks. If 14 residents of the country were chosen at random, find the probability that at least 3 had a great deal of confidence in banks.
Round to four decimal places as needed.
Round to four decimal places as needed.

Explanation / Answer

we will apply here binomial distribution method

p =0.1   and q= 0.9

P (x) = ncr (p)^x * (q)^n-x

P(3) = 14c3 (0.1)^3 *(0.9)^11

=(364)*(0.001)(0.31381)

=0.114 answer

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