Question
In: Statistics and Probability
An automobile manufacturer has determined that 30% of all gas tanks that were installed on its...
An automobile manufacturer has determined that 30% of all gas tanks that were installed on its 2007 compact model are defective.
a. If 15 of the cars are recalled, what is the expected number (mean) that will need new gas tanks?
b. If 15 of the cars are recalled, what is the standard deviation of the number of defective gas tanks?
Use Binomial Tables in your text to answer the following:
c. If 15 of the cars are recalled, what is the probability that 10 of the 15 will need new gas tanks?
d. If 15 of the cars are recalled what is the probability that fewer than 3 of the 15 will need new gas tanks?
Solutions
Expert Solution
Solution:
a. If 15 of the cars are recalled, what is the expected number (mean) that will need new gas tanks?
Answer: 
b. If 15 of the cars are recalled, what is the standard deviation of the number of defective gas tanks?
Answer: 
Use Binomial Tables in your text to answer the following:
c. If 15 of the cars are recalled, what is the probability that 10 of the 15 will need new gas tanks?
Answer: Using the binomial table, we have:
Therefore, the probability that 10 of the 15 will need new gas tanks is 0.0030
d. If 15 of the cars are recalled what is the probability that fewer than 3 of the 15 will need new gas tanks?
Answer:
Therefore, the probability that fewer than 3 of the 15 will need new gas tanks is 0.1268
Binomial table:
orchestra answered 1 year agoRelated Solutions
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