(a) The mass of a small loaf of bread is normally distributed with a mean of 500g and a standard deviation of 20g. (i) Find the probability that a randomly chosen loaf has a mass of more than 510g. (ii) Find the probability that a randomly chosen loaf has a mass in between 450g to 520g. If 16 loafs of bread were selected. (iii) Find the probability that a randomly chosen loaf has a mass of less than 498g. (iv) Find the probability that a randomly chosen loaf has a mass in between 492g to

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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(a)
The mass of a small loaf of bread is normally distributed with a mean of 500g and a
standard deviation of 20g.
(i)
Find the probability that a randomly chosen loaf has a mass of more than 510g.
(11)
Find the probability that a randomly chosen loaf has a mass in between 450g to
520g.
If 16 loafs of bread were selected.
(ii1) Find the probability that a randomly chosen loaf has a mass of less than 498g.
(iv)
Find the probability that a randomly chosen loaf has a mass in between 492g to
497g.
Transcribed Image Text:(a) The mass of a small loaf of bread is normally distributed with a mean of 500g and a standard deviation of 20g. (i) Find the probability that a randomly chosen loaf has a mass of more than 510g. (11) Find the probability that a randomly chosen loaf has a mass in between 450g to 520g. If 16 loafs of bread were selected. (ii1) Find the probability that a randomly chosen loaf has a mass of less than 498g. (iv) Find the probability that a randomly chosen loaf has a mass in between 492g to 497g.
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