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?Pearson\'s Mytab & Mas x y @ Take a Test-Ke?e Pin. ? ceSecure htts:/www.mathxl.

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Question

?Pearson's Mytab & Mas x y @ Take a Test-Ke?e Pin. ? ceSecure htts:/www.mathxl.com/'Student/PlayrTest aspxitestld-177882150 MTH 119.23W Kelcie Pimental& 44/18 1:33 PM Quiz: Chapter 6 Review Quiz Submit Quiz This Question: 1 pt 7 of 10 (7 complete) This Quiz: 10 pts possible In the following probability distribution, the random variable X represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (1) below Px) 0089 0148.2390264 0.260 (a) Venify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probablities is and each probability is (b) Draw a probablity histogram Choose the correct graph below O A. ??. 05 04 05 0.4 03 02 05 0 4 03 02 0.1 0.5 0 4 02 0.1 01234 0 1 23 4 0 12 34 (c) Compute and interpret the mean of the random variable X Click to select your answer(s)

Explanation / Answer

a) Sum = 0.089 + 0.148 + 0.239 + 0.264 + 0.260 = 1

This is a discrete probability distribution because the sum of probabilities is 1 and each probability is between 0 and 1.

b) Option-D)

c) Mean = E(X) = 0 * 0.089 + 1 * 0.148 + 2 * 0.239 + 3 * 0.264 + 4 * 0.260 = 2.458

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