Worksheets5B Add Maths : Probability of Normal Distribution 20/5/2021
Total questions: 10
Worksheet time: 58mins
Name
Class
Date
1.
The z-score represents.....
a)
the amount of standard deviations a data value is above or below the mean.
b)
the percentile the data value is above or below the mean.
c)
the amount of standard deviations a data value is above or below the median.
d)
the percent the data value is above or below the mean.
2.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
a)
-1.33
b)
1.33
c)
0.88
d)
1.02
3.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
4.
What is the area under the curve greater than z = 3.01
a)
.9987
b)
.0013
c)
.9990
d)
.001
5.
What's the probability x < 13?
(Mean = 10, Variance = 4)
a)
0.9332
b)
0.2266
c)
0.7734
d)
0.0668
6.
In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard deviation is 2 g. If 10 000 cookies were produced, how many cookies are within 2 g of the mean?
a)
6800
b)
9500
c)
3200
d)
9750
7.
Find the area of the shaded region if the z-score is 1.25
a)
0.1056
b)
0.8944
c)
0.8849
d)
0.1151
8.
Find the area of the shaded region if the z-score is 0.75
a)
0.2266
b)
0.7734
c)
0.758
d)
0.242
9.
Find the area under the normal distribution curve between a z=-1.26 and z=.57.
a)
0.0047
b)
0.9204
c)
0.6119
d)
0.4981
10.
The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?
a)
.0057
b)
.025
c)
.345
d)
.781
100 %
