Recently, the bowling scores of a certain bowler were normally
distributed with mean 202 and standard deviation 19.
a) Find the probability that a score is from
185 to 205
b) Find the probability that a score is from
165 to 175
c) Find the probability that a score is greater than 200
d) The best score is 299
Find the percentile that corresponds to this score, and explain
what that number represents.
The scores for a certain test of intelligence are normally
distributed with mean 100 and standard deviation Find the 80th
percentile of these scores.
Below is the table used, I still cant figure out what the 80%
would be here:
Standard Scores and Percentiles
z-score
Percentile
z-score
Percentile
z-score
Percentile
z-score
Percentile
minus−3.5
00.02
minus−1.00
15.87
0.00
50.00
1.1
86.43
minus−3.0
00.13
minus−0.95
17.11
0.05
51.99
1.2
88.49
minus−2.9
00.19
minus−0.90
18.41
0.10
53.98
1.3
90.32
minus−2.8
00.26
minus−0.85
19.77...
Ralph’s bowling scores in a single game are normally distributed
with a mean of 120 and a standard deviation of 10.
Lucky Lolly’s bowling scores in a single game a normally
distributed with a mean of 100 and standard deviation of 15.
Is Lolly or Ralph more likely to score over 165 in a single
game? Show your work.
Is Lolly or Ralph more likely to score over 130 in a single
game? Show your work.
IQ scores in a certain population are normally distributed with
a mean of 97 and a standard deviation of 12. (Give your answers
correct to four decimal places.)
(a) Find the probability that a randomly selected person will
have an IQ score between 92 and 98.
(b) Find the probability that a randomly selected person will have
an IQ score above 90
.
Given the scores on a certain exam are normally distributed with
a mean of 75 and a standard deviation of 5
a. Calculate the z-score for 80. Find the percentage of students
with scores above 80
b. Calculate the z-score for 60. Find the percentage of students
with scores below 60.
c. Calculate the z-scores for 70 and 90. Find the percentage of
students with scores between 70 and 90.
d. What is the median?
e. What test score value...
For bone density scores that are normally distributed with a
mean of 0 and a standard deviation of 1, find the percentage of
scores that are
a. significantly high (or at least 2 standard deviations above
the mean).
b. significantly low (or at least 2 standard deviations below
the mean).
c. not significant (or less than 2 standard deviations away
from the mean).
3) Scores on the SAT are normally distributed with a
mean of 500 and a standard deviation of 100
What is the probability of obtaining a score greater than
640?
What is the probability of obtaining a score less than
390?
What is the probability of obtaining a score between 725 and
800?
What is the probability of obtaining a score either less than
375 or greater than 650?
4) If you obtained a score of 75 on an test,...
The scores on a standardized test are normally distributed with
a mean of 95 and standard deviation of 20. What test score is 0.5
standard deviations above the mean?
The SAT scores for students are normally distributed with a mean
of 1000 and a standard deviation of 200. What is the probability
that a sample of 45 students will have an average score between 970
and 1010? Round your answer to 3 decimal places.