Question

33% of US adults say they are more likely to make a purchase during a sales tax holiday you randomly select 10 adults find the probability that the number of adults who say they are more likely to make purchases during the sales tax holiday is exactly 2

Answer 1

To find the probability of exactly 2 adults saying they are more likely to make purchases during the sales tax holiday, you can use the binomial probability formula. Plugging in the values, the probability is approximately 0.1671.

Step-by-step explanation:

To find the probability of exactly 2 adults saying they are more likely to make purchases during the sales tax holiday, we can use the binomial probability formula. The formula is P(x) = C(n, x) * p^x * (1-p)^(n-x), where n is the number of trials, x is the number of successes, and p is the probability of success.

In this case, the number of trials (n) is 10, the number of successes (x) is 2, and the probability of success (p) is 0.33 (or 33%).

Plugging the values into the formula, we get:

P(2) = C(10, 2) * 0.33^2 * (1-0.33)^(10-2)

Simplifying the expression, we find:

P(2) = 45 * 0.1089 * 0.3443

P(2) = 0.1671

Therefore, the probability that exactly 2 adults say they are more likely to make purchases during the sales tax holiday is approximately 0.1671.

Answer 2

0.199

Step-by-step explanation:

p = 33% = 0.33

1 - p = 1 - 0.33 = 0.67

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 2) = 10C2 * 0.33^2 * 0.67^8

P(x = 2) = 45 * 0.1089 * 0.0406067677556641

P(x = 2) = 0.19899346538663192205

P(x = 2) = 0.1989

P(x = 2) = 0.1990