Question

In: Statistics and Probability

Assume that adults have iq scores that are normally distributed with a mean of µ =100 and standard deviation of 20

Assume that adults have iq scores that are normally distributed with a mean of µ =100 and standard deviation of 20.find the probability that a randomly selected adult has an iq less than 128?

Solutions

Expert Solution

given,

mean of normally distributed iq scores is100

standard deviation is 20

then we have to find the probability of selected adult scores  should be less than 120

we calculate by normal distribution table by calculation of z score by using the formula the difference of required probability element and the mean divided by standard deviation gives us the z score

the z score and the normal distribution table gives us the required probabilityt

0.9192

sri answered 2 years ago
Next > < Previous

Related Solutions

assume that IQ scores are normally distributed with a mean of 100 and a standard deviation...
assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected person has an IQ score less than 115. Find the probability that a randomly selected person has an IQ score greater than 118. Find the probability that a randomly selected person has an IQ score between 88 and 112.
Assume that IQ scores are normally distributed with a mean of 100 and standard deviation of...
Assume that IQ scores are normally distributed with a mean of 100 and standard deviation of 12. Find the probability that: (a) a randomly selected person has an IQ score less than 92. (b) a randomly selected person has an IQ score greater than 108.
Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation...
Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.. If 25 people are randomly selected, find the probability that their mean IQ score is less than 103. (a) .1587 (b) .8413 (c) 1.000 (d) .9938 23 Refer to question 19 above. If 100 people are randomly selected, find the probability that their mean IQ is greater than 103. (a) .8413 (b) 2.000 (c) .9772 (d) .0228 24 True or False. Because...
Assume adult IQ scores are normally distributed with a mean of 100 and a standard deviation...
Assume adult IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 a) What is the probability that a randomly selected adult has an IQ that is less than 115 b) Find the probability that an adult has an IQ greater than 131.5 (requirement to join MENSA) c) Find the probability that a randomly selected adult has an IQ between 110 and 120 d) Find the IQ separating the top 15% from the others...
8. Assume that adults have IQ scores that are normally distributed with a mean of 100...
8. Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). Let X be the IQ scores for adults. So ( ) 2 X N~ 100,15 a. Find the probability that a randomly selected adult has an IQ greater than 131.5 (the requirement for membership in the Mensa organization). Show the area under the normal curve. b. Find the probability that a randomly selected...
1. assume that adults have IQ scores that are normally distributed with a mean of 100...
1. assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQ between 105 and 125. 2. 120 142 158 128 135 152 Find x̅, s, and t, construct a 90% confidence interval pf the population mean.
IQ test scores are normally distributed with a mean of 100 and a standard deviation of...
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 123. A.What percentage of individuals will score above 123? B.What percentage of individuals will score below 123? c. What percentage of individuals will score between 123 and 100? d. This individual was trying to be in the 80th percentile; did they achieve this? how can you tell? e. what can we say about someone with...
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15....
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. A) If one person are randomly selected, find the probability the IQ score is greater than 112. B)If one person are randomly selected, find the probability the IQ score is less than 95. C)If one person are randomly selected, find the probability the IQ score is between 97 and 110. D) If 16 people are randomly selected, find the probability the IQ score will...
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15....
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a) Find the proportion of the population that has an IQ higher than 94 b) Find the proportion of the population that has an IQ between 82 and 88 c) Find the IQ score that seperates the highest scoring 67% from the rest of the population Critical Values Z0.05= 1.645 Z0.025=1.96 Z0.01=2.325 Z0.005=2.575
IQ Scores are normally distributed with a mean of 100 and a standard deviation of 15....
IQ Scores are normally distributed with a mean of 100 and a standard deviation of 15. Use this information and a Z-table (or calculator or Excel) to solve the following problems. A. Ryan has an IQ score of 118. Calculate the z-score for Ryan's IQ. B. Interpret the z-score you obtained in the previous problem. C. Suppose an individual is selected at random. What is the probability that their IQ score is less than 111? Round your answer to four...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT