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Chapter 15: Q15MP (page 777)

Out of 1095people, what is the probability that exactly 2 were born on Jan.1 ? Assume 365days in a year

Short Answer

Expert verified

The value of the function from binomial distribution is 0.224.

Step by step solution

01

Given Information

Number of people is 1095

02

Definition of the Binomial distribution. 

Frequency distribution of the number of successful outcomes that can be achieved in a given number of trials, each with an equal chance of success.

03

Find the Binomial distribution.

The formula for binomial distribution states that.f(x)=C(x,n)pxqn鈭�x

n=1095p=1365x=2

Substitute the values mentioned above in the formula.

f(2)=C(1095,2)(1365)2(364365)1093=0.224

04

Find the corresponding normal approximation.

The formula for corresponding normal approximation states that .f(x)=e鈭�(x鈭�np)2/2npq2蟺npq

n=1095p=1365x=2

Substitute the values mentioned above in the formula.

f(2)=e鈭�3鈰�322!=0.224

The value of the function from binomial distribution is .0.224

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