Question

20. Find the indicated IQ score explain how you found your answer

21 What is the expected profit show work

Provide an appropriate response. Points: 5 20) Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). The shaded area under the curve is 0.7622. A) 102.6 B) 129.6 C) 97.5 D) 110.7 Explain how you found the answer. Points: 5 21) A contractor is considering a sale that promises a profit of $29,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $15,000 with a probability of 0.3. What is the expected profit? Show your work below. A) $30,800 B) $15,800 C) $14,000 D) $20,300

Answer 1

Using Z-score= ( X - mean) /standard deviation

With help of standard normal distribution table we find prob

Let X1 be indicated IQ score such that

P( X<X1) = 0.7622

We get Z =0.713 such that P(Z <0.713 ) =0.7622

Z=0.713 =(X1 - mean) /s.d. = (X1 - 100) /15

X1 = 15(0.713) + 100 = 110.7

Option D is correct

Solution file is attached go through iit

Solr. Graph depicts IO scores of aclults and these scores are nonolly Distributed Mean= "=100 and Standard deviations = 15 with Shaded Area under cuore is 0.7622 such that tosiang Let x, se indicated to score 3it. PCX<X1)= 0.7622 P(XLX1) = 0.7622 using Stinelard Nesnal Digth table we find balue P(x 0.7622 using Normaal table we get Z=0.713 such that P(Z<Z) = 0.7622 P(Z <0.713) Plxal ex-loo 15 2=X,-4 x,-100 15 = x = (15) Z-value) & 100 X,= (15) (0.713) +100 = 110.695 X = 11007 [ By Renned upto I decimal] Hence Indicated score is 110.7 option D) is correct.

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