Answer to Question #207949 in Statistics and Probability for Yongpal12e

Question #207949

In a company an average of 3 out of every 5 staffs take MC on daily basis. A random sample of 10 staffs is selected. Find the probability that Exactly 6 take MC in a particular week.


1
Expert's answer
2021-06-18T04:47:42-0400

Let X=X= the number of staffs taking MC: XBin(n,p).X\sim Bin(n, p).

Given n=10,p=35=0.6n=10, p=\dfrac{3}{5}=0.6


P(X=6)=(106)(0.6)6(10.6)106P(X=6)=\dbinom{10}{6}(0.6)^6(1-0.6)^{10-6}

=210(0.6)6(0.4)4=0.250822656=210(0.6)^6(0.4)^{4}=0.250822656

The probability that Exactly 6 take MC in a particular week is 0.2508.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment