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Firefox File Edit View History Bookmarks Tools Window Help n 9 12 PM Do Homework ADRIANA FERNANDEZ O https://www.mathxd.com/student/PlayerHomework.aspx?homeworkid-42801 &flushed-false;&cld-4471511;¢ervin; yes 2017 SU MATH 2342 34440 Homework: Section 5.2 Probability Distributions Score: 0 of 1 pt HW Score: 20.37%, 1.83 of Question 3, 5.2.7 Question Hep Five males with a particular genetic disorder have one child each The random variable x is the number of children among the sve who inherit the genetic disorder. Determine whether the table describes a probabl it does, find the moan and standard deviation. 0.0715 0.2484 0.3452 0.0834 0.0116 Find the mean of the random variable x Select the correct choice below and, if necessary. fi in the answer box to complete your choice. MA 2.1 Round to one decimal place as needed.) 0. The table is not a probability distribution. Find the standard deviation of the random variable x, Select the oomect choioe below and, ifnecessary fill in the answer box to complete your choice (Round to one decimal place as needed.) B. The table is not a probabaty distribution Click to select and enter your answerts) and then click Check Answer. All parts showingExplanation / Answer
Step 1: Find the mean (this is also called the expected value) by multiplying the probabilities by x in each column and adding them all up:
we get mean = 2.1
Step 2: work the inner part of the above equation, without the square root:
((0 – 2.1)^2 * 0.0715 ) +((1 – 2.1)^2 * 0.2484 ) +((2 – 2.1)^2 * 0.3452 ) +((3 – 2.1)^2 * 0.2399 ) + ((4 – 2.1)^2 * 0.0834 ) + ((5 – 2.1)^2 * 0.0116 )
= 1.21228
Step 3: Take the square root of Step 2:
= 1.21228 = 1.20
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