Question

A newspaper conducted a survey asking its readers how many times they donated blood each year. Let X represent the number of donations a randomly selected person who participated in the survey makes each year. The probability distribution of X is given as follows: x | 0 | 1 | 2 | 3 | 4 | 5 | 6 ---|---|---|---|---|---|---|--- P(x) | 0.28 | 0.23 | 0.17 | 0.14 | K | 0.05 | 0.02 a. Find the missing value, K. b. Find the probability that an individual selected at random from those surveyed donates blood more than 1, but less than 5 times a year. Enter the answer for Part (b) in the box below.

          A newspaper conducted a survey asking its readers how many times they donated blood each year. Let X represent the number of donations a randomly selected person who participated in the survey makes each year. The probability distribution of X is given as follows:

x | 0 | 1 | 2 | 3 | 4 | 5 | 6
---|---|---|---|---|---|---|---
P(x) | 0.28 | 0.23 | 0.17 | 0.14 | K | 0.05 | 0.02

a. Find the missing value, K.
b. Find the probability that an individual selected at random from those surveyed donates blood more than 1, but less than 5 times a year.

Enter the answer for Part (b) in the box below.

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A newspaper conducted a survey asking its readers how many times they donated blood each year. Let X represent the number of donations a randomly selected person who participated in the survey makes each year. The probability distribution of X is given as follows:

x | 0 | 1 | 2 | 3 | 4 | 5 | 6
—|—|—|—|—|—|—|—
P(x) | 0.28 | 0.23 | 0.17 | 0.14 | K | 0.05 | 0.02

a. Find the missing value, K.
b. Find the probability that an individual selected at random from those surveyed donates blood more than 1, but less than 5 times a year.

Enter the answer for Part (b) in the box below.

Added by Cynthia D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Joanna Quigley

02/02/2024

Step 1

Since the sum of all probabilities in a probability distribution must equal 1, we can set up the following equation: 0.28 + 0.23 + 0.17 + 0.14 + 0.05 + 0.02 + P = 1 Now, we can solve for P: P = 1 - (0.28 + 0.23 + 0.17 + 0.14 + 0.05 + 0.02) P = 1 - 0.89 P = Show more…

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A newspaper conducted a survey asking its readers how many times they donated blood each year. Let X represent the number of donations a randomly selected person who participated in the survey makes each year. The probability distribution of X is given as follows: P(X=0) = 0.28 P(X=1) = 0.23 P(X=2) = 0.17 P(X=3) = 0.14 P(X=4) = 0.05 P(X=5) = 0.02 Find the missing value. Find the probability that an individual selected at random from those surveyed donates blood more than X but less than Y times per year.

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