Question

Loia Piaza surveyed 872 customers to determite which of two new pizza cnoices to 425 said they would prefer the BBQ Ranch Pizza. 171 were females who said they would prefer the Buffalo Chicken Pizza 384 were male Find the probability that a customer chosen at random will be a female or prefers Buffalo 196% 35.0% 36 4% 876%

Answer 1

Answer:

Correct option: fourth one -> 87.6% (it is missing the point between 7 and 6)

Step-by-step explanation:

We have a total of 872 customers surveyed, and from this total, 384 were male, so the number of female is 872 - 384 = 488

From the 488 female, we know that 171 females prefer the Buffalo pizza, so the number of females that prefer the bbq pizza is 488 - 171 = 317.

If 425 customers prefered the bbq pizza, we know that the number of customers that prefer the buffalo pizza is 872 - 425 = 447

To find the probability of a customer being female or prefering the buffalo pizza, we can use this formula:

N(female or buffalo) = N(female) + N(buffalo) - N(female and buffalo)

N(female or buffalo) = 488 + 447 - 171 = 764

So the probability of chosing a female or someone that prefer buffalo is:

P = N(female or buffalo) / N(total) = 764 / 872 = 87.6%

Correct option: fourth one (it is missing the point between 7 and 6)

Answer 2

Answer:

87.6%

Step-by-step explanation:

Given:

Sample size, n = 872

Females who preferred Buffalo chicken pizza = 171

Total number of Males =  384

The total number of females would be: 872 - 384 = 488.

To find the total number that prefers bufflo since 425 prefer BBQ, we have: 872 - 425 = 447

The probability of a customer be female or preferring bufallo would be:

Number of female or buffalo = Number of female + Number that prefers buffalo - Number of female and buffalo

= 488 + 447 - 171 = 764

To find the probability that a customer chosen at random will be a female OR prefers Buffalo, we have:

Number of female or buffalo / total number of people

Therefore, we have:

$= \frac{764}{872} = 0.876$

0.876 * 100 = 87.6%

The probability that a customer chosen at random will be a female or prefers Buffalo is 87.6%