According to a study conducted by CESI Debt Solutions, 80% of married people hide

Chapter 6, Problem 7

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QUESTION:

According to a study conducted by CESI Debt Solutions, 80% of married people hide purchases from their mates. In a random sample of 20 married people, find and interpret: (a) The probability exactly 15 hide purchases from their mates. (b) The probability at least 19 hide purchases from their mates. (c) The probability fewer than 19 hide purchases from their mates. (d) The probability between 15 and 17, inclusive, hide purchases from their mates.

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QUESTION:

According to a study conducted by CESI Debt Solutions, 80% of married people hide purchases from their mates. In a random sample of 20 married people, find and interpret: (a) The probability exactly 15 hide purchases from their mates. (b) The probability at least 19 hide purchases from their mates. (c) The probability fewer than 19 hide purchases from their mates. (d) The probability between 15 and 17, inclusive, hide purchases from their mates.

ANSWER:

Step 1 of 5

Given that,

According to a study conducted by CESI Debt Solutions,

The proportion of married people who hide purchases from their mates is p = 0.80.

Sample size, n = 20 married people

Suppose X (success) represents the number of married people who hide purchases from their mates.

The provided information indicates that  .

The binomial probability formula for obtaining exactly x number of successes is:

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