# Cameron University Statistics & Probability Worksheet

3/27/22, 2:04 PMMyOpenMath
Continuous Distributions
Joao Guilherme Guercheski Duleba
Question 1
0/1 pt
3
19
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 20 minutes.
What is the probability that washing dishes tonight will take me between 12 and 13 minutes?
Question Help:
Video
Question 2
0/1 pt
3
19
0/1 pt
3
19
The values of a particular distribution are uniformly distributed between 6 and 11.
5
6
P (9 < x < 10) Question Help: 7 8 9 10 11 12 = Video Question 3 https://www.myopenmath.com/assess2/?cid=134459&aid=9586323#/print 1/10 3/27/22, 2:04 PM MyOpenMath Match each graph with its equation. ( x − 50 ) - e − 2 2 ⋅ 52 √2π ⋅ 5 - e − ( x − 40 ) 2 2 ⋅ 52 a. √2π ⋅ 5 − - e ( x − 45 ) 2⋅6 2 2 25 30 35 40 45 50 55 √2π ⋅ 6 b. 30 36 42 48 54 60 c. 35 40 45 50 55 60 65 Question 4 https://www.myopenmath.com/assess2/?cid=134459&aid=9586323#/print 0/1 pt 3 19 2/10 3/27/22, 2:04 PM MyOpenMath The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.52 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z= b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. % c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z= d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. % e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence. Question 5 https://www.myopenmath.com/assess2/?cid=134459&aid=9586323#/print 0/1 pt 3 19 3/10 3/27/22, 2:04 PM MyOpenMath The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 120 and standard deviation of 17 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. % b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the
nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and
down if there’s an issue!
people
c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US
qualify for stage 1?
%
d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your
systolic BP? Round to 2 decimal places.
lbs
Question Help:
Video 1
Video 2
Question 6
0/1 pt
3
19
In a normal distribution, a data value located 0.7 standard deviations below the mean has Standard
Score: z =
In a normal distribution, a data value located 1.9 standard deviations above the mean has Standard
Score: z =
In a normal distribution, the mean has Standard Score: z =
Question Help:
Video
https://www.myopenmath.com/assess2/?cid=134459&aid=9586323#/print
4/10
3/27/22, 2:04 PM
MyOpenMath
Question 7
0/1 pt
If the area to the left of
x
3
19
3
19
in a normal distribution is 0.749, what is the area to the right of x?
If the area to the right of
x
in a normal distribution is 0.749, what is the area to the left of x?
Question Help:
Video
Question 8
0/1 pt
A variable is normally distributed with mean 23 and standard deviation 7. Use your graphing calculator
to find each of the following areas. Write your answers in decimal form. Round to the nearest
thousandth as needed.
a) Find the area to the left of 24.
b) Find the area to the left of 21.
c) Find the area to the right of 23.
d) Find the area to the right of 25.
e) Find the area between 21 and 27.
Question Help:
Video
Question 9
0/1 pt
3
19
Find the area of the shaded region under the standard normal distribution to the left of the given zscore. Round your answer to four decimal places.
-4
P (z < -3 -2 z = -2.39 -1 0 z 1 2 3 4 − 2.39) = Question Help: Video Question 10 https://www.myopenmath.com/assess2/?cid=134459&aid=9586323#/print 0/1 pt 3 19 5/10 3/27/22, 2:04 PM MyOpenMath Find the area of the shaded region under the standard normal distribution to the right of the given zscore. Round your answer to four decimal places. -4 -3 -2 z = -2.49 P (z >
-1
0
z
1
2
3
4
− 2.49) =
Question Help:
Video
Question 11
0/1 pt
3
19
Find the area of the shaded region under the standard normal distribution between the given z-scores.
-4
-3
-2
-1
0
-0.35
z
1
0.84
2
3
4

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