Mathematics, 09.02.2021 04:00 Chris5181

g Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 76 and 124? (b) What percentage of people has an IQ score less than 64 or greater than 136? (c) What percentage of people has an IQ score greater than 136?

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Answer from: sydney673

a) 95% of people has an IQ score between 76 and 124.

b) 0.3% of people has an IQ score less than 64 or greater than 136.

c) 0.15% of people has an IQ score greater than 136

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 12

(a) What percentage of people has an IQ score between 76 and 124?

76 = 100 - 2*12

124 = 100 + 2*12

So within 2 standard deviations of the mean, and the percentage is 95%.

(b) What percentage of people has an IQ score less than 64 or greater than 136?

64 = 100 - 3*12

136 = 100 + 3*12

99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136.

0.3% of people has an IQ score less than 64 or greater than 136.

Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.

Answer from: Quest

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.

Answer from: Quest

answer: can you give the

step-by-step explanation:

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