Homework Help is Here – Start Your Trial Now!
Math
Statistics
WORD PROBLEMS: 1. The lengths of a particular species of worm are normally distributed with a mean of 21 cm and standard deviation of 1.5 cm. Find the probability that a worm selected at random is: a. Less than 23.4 cm long b. More than 19.8 cm long c. Between 18 cm and 24 cm long 2. The length of time patients have to wait in Dr. Booth's waiting room us known to be

WORD PROBLEMS: 1. The lengths of a particular species of worm are normally distributed with a mean of 21 cm and standard deviation of 1.5 cm. Find the probability that a worm selected at random is: a. Less than 23.4 cm long b. More than 19.8 cm long c. Between 18 cm and 24 cm long 2. The length of time patients have to wait in Dr. Booth's waiting room us known to be

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
See similar textbooks
icon
Related questions
Question

Answer the following with complete solutions please

WORD PROBLEMS: 1. The lengths of a particular species of worm are normally distributed with a mean of 21 cm and standard deviation of 1.5 cm. Find the probability that a worm selected at random is: a. Less than 23.4 cm long b. More than 19.8 cm long C. Between 18 cm and 24 cm long 2. The length of time patients have to wait in Dr. Booth's waiting room us known to be normally distributed with mean 14 minutes and standard deviation 4 minutes. Find the probability that a patient will have to wait more than 20 minutes to see the doctor. What proportion of the patients wait less than 10 minutes? 3. Packets of breakfast cereal are said to contain 550g. The manufacturer knows that the weights are normally distributed with mean 551.2g and standard deviation 15 g. What proportion of packets will contain more than the stated weight? 4. A biologist has studied a particular tropical insect and she has discovered that its lifespan is normally distributed. The mean lifespan of this insect is 72 days and the standard deviation of its lifespan is eight days. Find the probability that the next insect studied lives: a. Fewer than 70 days b. Between 68 and 78 days c. More than 76 days 5. The heights of the girls in a particular college is normally distributed with mean 166 cm and standard deviation 4 cm. Find the probability that if a student is chosen at random her weight will be: a. Less than 165 cm b. Between 163 and 168 cm c. More than 170 cm 6. The lengths of metal bolts are normally distributed with mean μ cm and standard deviation 7 cm. If 2.5% of the bolts measure more than 68 cm. find the value of μ. 7. The average weekly incomes, in £s, of 18 selected occupations in the United Kingdom were: 244, 146, 278, 396, 435, 641, 577, 294 122, 357, 802 730, 286, 484, 169,, 559, 208, 498 • upper bound a. Find the median, mode, variance, range, mad, upper extreme, lower extreme. b. Draw a box plot to represent these incomes. c. Calculate the mean weekly income and the standard deviation. lower bound
Transcribed Image Text:WORD PROBLEMS: 1. The lengths of a particular species of worm are normally distributed with a mean of 21 cm and standard deviation of 1.5 cm. Find the probability that a worm selected at random is: a. Less than 23.4 cm long b. More than 19.8 cm long C. Between 18 cm and 24 cm long 2. The length of time patients have to wait in Dr. Booth's waiting room us known to be normally distributed with mean 14 minutes and standard deviation 4 minutes. Find the probability that a patient will have to wait more than 20 minutes to see the doctor. What proportion of the patients wait less than 10 minutes? 3. Packets of breakfast cereal are said to contain 550g. The manufacturer knows that the weights are normally distributed with mean 551.2g and standard deviation 15 g. What proportion of packets will contain more than the stated weight? 4. A biologist has studied a particular tropical insect and she has discovered that its lifespan is normally distributed. The mean lifespan of this insect is 72 days and the standard deviation of its lifespan is eight days. Find the probability that the next insect studied lives: a. Fewer than 70 days b. Between 68 and 78 days c. More than 76 days 5. The heights of the girls in a particular college is normally distributed with mean 166 cm and standard deviation 4 cm. Find the probability that if a student is chosen at random her weight will be: a. Less than 165 cm b. Between 163 and 168 cm c. More than 170 cm 6. The lengths of metal bolts are normally distributed with mean μ cm and standard deviation 7 cm. If 2.5% of the bolts measure more than 68 cm. find the value of μ. 7. The average weekly incomes, in £s, of 18 selected occupations in the United Kingdom were: 244, 146, 278, 396, 435, 641, 577, 294 122, 357, 802 730, 286, 484, 169,, 559, 208, 498 • upper bound a. Find the median, mode, variance, range, mad, upper extreme, lower extreme. b. Draw a box plot to represent these incomes. c. Calculate the mean weekly income and the standard deviation. lower bound
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS