1 answer

Assume a member is selected at random from the population represented by the graph. Find the...

Question:

Assume a member is selected at random from the population represented by the graph. Find the probability that the member sele
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed SAT Critical Reading Scores 200 x475 H-513 107 só0 200 475 Seore The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed.)

Answers

Solution :

Given that ,

mean = \mu = 513

standard deviation = \sigma = 107

P(200 < x < 475) = P[(200 - 513) / 107 ) < (x - \mu ) /\sigma  < (475 - 513) / 107) ]

= P(- 2.93 < z < - 0.36 )

= P(z < - 0.36) - P(z < - 2.93)

Using z table,

= 0.3594 - 0.0017

= 0.3577

.

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