Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 10. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 10. The value of the mean is u = 7.5 peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is =| peas. (Round to one decimal place as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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please help answer these two questions. 

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a
pea has green pods. Assume that the offspring peas are randomly selected in groups of 10. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 10.
The value of the mean is u = 7.5 peas.
(Type an integer or a decimal. Do not round.)
The value of the standard deviation is
peas.
(Round to one decimal place as needed.)
Transcribed Image Text:Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 10. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 10. The value of the mean is u = 7.5 peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is peas. (Round to one decimal place as needed.)
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test
60 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of
4000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all
such shipments be accepted, or will many be rejected?
The probability that this whole shipment will be accepted is
(Round to four decimal places as needed.)
Transcribed Image Text:A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 60 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)
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Given,n=10p=0.75A random variable X~Binomial(n=10 , p=0.75)P(X=x)=10x0.75x1-0.7510-x  ;  x=0,1,2,.....10

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