Answer:
x=38
Step-by-step explanation:
Answer:
Step-by-step explanation:
<h3>Given GP</h3>
<h3>To find</h3>
<h3>Solution</h3>
<u>Substitute ar in the second equation</u>
- ar⁵= 16
- 4r⁴ = 16
- r⁴ = 4
- r = √2
<u>Then finding a₄</u>
- a₄ = a₂*r² = 4*(√2)² = 4*2= 8
The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
For this problem, considering the cost of $0.5, the distribution is given as follows:
- P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
- P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.
- P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.
Hence the expected value is given by:
E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.
More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984
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