272547 ica Search Based on an IQ test with a -100 and a -15 What is the percenti

Question

272547 ica Search Based on an IQ test with a -100 and a -15 What is the percentile for an 1Q of 1247 O a. 56.36 c. 44.52 O d.94.52 QUESTION 23 Based on an IQ test with a -100 and a -15 What proportion of scores falls between an 10 of 52 and an 1Q of 1152 O a. 1580 0 b.-1594 c.5761 O d. 8406 QUESTION 24 From an ordinary deck of 52 cards: (4 suits: hearts, clubs, spades, and diamonds; with each suit containing 13 cards numbered 2-10, plus a Jack, Queen, King, and shows the probability of drawing two Jacks in a row (no

Explanation / Answer

NORMAL DISTRIBUTION
the PDF of normal distribution is = 1/ * 2 * e ^ -(x-u)^2/ 2^2
standard normal distribution is a normal distribution with a,
mean of 0,
standard deviation of 1
equation of the normal curve is ( Z )= x - u / sd ~ N(0,1)
mean ( u ) = 100
standard Deviation ( sd )= 15
a.
P(X < 124) = (124-100)/15
= 24/15= 1.6
= P ( Z <1.6) From Standard Normal Table
= 0.9452
It is 94.52%
b.
To find P(a < = Z < = b) = F(b) - F(a)
P(X < 52) = (52-100)/15
= -48/15 = -3.2
= P ( Z <-3.2) From Standard Normal Table
= 0.0007
P(X < 115) = (115-100)/15
= 15/15 = 1
= P ( Z <1) From Standard Normal Table
= 0.8413
P(52 < X < 115) = 0.8413-0.0007 = 0.8406 ~ 84.06%

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