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WorksheetsAS 3.14 Probability Distributions (Part 1)
Total questions: 10
Worksheet time: 30mins
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
69.37 in
67.58 in
71.92 in
The average waist size for teenage males is 29 cm with a standard deviation of 1.4 cm.
If waist sizes are normally distributed, That is the probability a teenager picked at random will have a waist measuring more than 31 cm?
0.9241
0.1056
0.16
0.0766
The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
115
131
145
120
What is the the total area under the standard normal distribution curve?
100
25
0.5
1
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
What percentage of the products last between 12 and 15 days?
68%
34%
16%
2.5%
The speeds of cars on the highway have a mean of 95 km/h with a standard deviation of 5 km/h. What is the probability that a car was travelling less than 85 km/h?
0.0015
0.00235
0.0228
0.0185
Harold loves eating M&M's. The amount he eats each day is Normally distributed with a mean of 235 g and a standard deviation of 26 g. On a randomly picked day, what is the probability he will eat between 230 and 250 g?
(round your answer to 4 dp)
(a)
A particular brand of battery has a mean life span of 36.1 hours, with a standard deviation of 2.84 hours. What would be the minimum life span 18% of batteries last longer than?
(round to 1 dp and just state the number)
(a)
Weights of chocolate chip cookies are normally distributed with a mean weight of 12.2 g and standard deviation of 1.15 g. 5% of the cookies are considered too small and are rejected. Calculate the lowest acceptable weight of a cookie.
(round to 1 dp and just state the number)
(a)
