A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. Lengths of Cuckoo Bird Eggs Length (in millimeters) Percent of eggs 18.75-19.75 0.8 19.75-20.75 4.0 20.75-21.75 17.3 21.75-22.75 37.9 22.75-23.75 28.5 23.75-24.75 10.7 24.75-25.75 0.8 SOURCE: Biometrika What percent of the group of eggs was less than 21.75 mm long? What is the probability that one of the eggs selected at random was at least 20.75 mm long but less

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48
MATH IN THE MODERN WORLD
FIL 1
Module 7 Assessment
A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency
distribution below to answer the questions that follow.
I.
Lengths of Cuckoo Bird Eggs
Length (in millimeters)
Percent of eggs
18.75-19.75
0.8
19.75-20.75
4.0
20.75-21.75
17.3
21.75-22.75
37.9
22.75-23.75
28.5
23.75-24.75
10.7
24.75-25.75
0.8
SOURCE: Biometrika
a. What percent of the group of eggs was less than 21.75 mm long?
b. What is the probability that one of the eggs selected at random was at least 20.75 mm long but less
than 24,75 mm long?
During 1 week, an overnight delivery company found that the weights of its parcels were normally
distributed, with a mean of 24 oz and a standard deviation of 6 oz.
a. What percent of the parcels weighed between 12 oz and 30 oz?
b. What percent of the parcels weighed more than 42 oz?
I.
II.
The amount of time customers spent waiting in line at a grocery store is normally distributed, with
a mean of 2.5 min and a standard deviation of 0.75 min. Find the probability that the time a
customer spends waiting is
a. less than 3 min.
b. less than 1 min.
Page | 25
PDF
Your work
Assigned
Transcribed Image Text:2:28 * 4 40 classroom.google.com 48 MATH IN THE MODERN WORLD FIL 1 Module 7 Assessment A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow. I. Lengths of Cuckoo Bird Eggs Length (in millimeters) Percent of eggs 18.75-19.75 0.8 19.75-20.75 4.0 20.75-21.75 17.3 21.75-22.75 37.9 22.75-23.75 28.5 23.75-24.75 10.7 24.75-25.75 0.8 SOURCE: Biometrika a. What percent of the group of eggs was less than 21.75 mm long? b. What is the probability that one of the eggs selected at random was at least 20.75 mm long but less than 24,75 mm long? During 1 week, an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 24 oz and a standard deviation of 6 oz. a. What percent of the parcels weighed between 12 oz and 30 oz? b. What percent of the parcels weighed more than 42 oz? I. II. The amount of time customers spent waiting in line at a grocery store is normally distributed, with a mean of 2.5 min and a standard deviation of 0.75 min. Find the probability that the time a customer spends waiting is a. less than 3 min. b. less than 1 min. Page | 25 PDF Your work Assigned
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