In a research company, 25% of adults own a tablet computer. If a random sample of 10 adults is taken, find the probabilities of the following questions:
Exactly 5 adults own tablets computers

Between 6 and 8 adults (inclusive) own tablet computers

At least 2 adults own tablet computers

Find the Expected Value µ

Find Standard Deviation σ

a) 0.2816

b) 0.019698

c)0.755974

d)E(X)=2.5

e) σ =1.369

Step-by-step explanation:

a. This is a binomial probability distribution with n=10 and p=25%=0.25

The binomial probability function is denoted as:

#Probability that Exactly 5 adults own tablets computers:

Hence, the Probability that Exactly 5 adults own tablets computers is 0.2816

b.Between 6 and 8 adults (inclusive) own tablet computers:

-We use our function from a above to find the summation of probabilities for x=6,7,8:

Hence, the probability that between 6 and 8 adults (inclusive) own tablet computers is 0.019698

c. At least 2 adults own tablet computers.

We use our function to find the probabilities for x=2,3,4,5,6,7,8,9,10 and sum them:

Hence, the probability that At least 2 adults own tablet computers is 0.755974

d. The expected value in a binomial distribution is the product of probability of success by the sample size, n;

Hence, the expected value of the function is 2.5

e. The standard deviation of a binomial distribution function is calculated as:

Hence, the standard deviation of the function is 1.369

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: