a) The probability that the car battery fails within 1 year is computed here as:
The expected number of batteries that were replaced last year is:
= np
= 10*0.39347
= 3.9347
b) Probability that Bob had to replace 4 batteries in 2019 is
Here we binomial probability function :
0.2506 is the required probability.
c) Exponential distribution follows a memoryless property, that is it does not depend on the past events. Therefore we just have to find the probability here that 2 batteries are to be replaced in 1 year
0.1276 is the required probability.
show all of the work For this question, answers should be decimal with 4 digits to...
For this question, answers should be decimal with 4 digits to right of the decimal point. ex. 0.1234 Bob owns a car rental company that has a fleet of 10 cars. Each car battery has an Exponentially distributed lifespan with a mean of 4 years. At the beginning of last year (Jan. 1, 2019), Bob replaced all the batteries. a) (5 points) What was the expected number of Batteries that Bob had to replace last year? b) (5 points) What...
For this question, answers should be decimal with 4 digits to right of the decimal point. ex. 0.1234 Bob owns a car rental company that has a fleet of 10 cars. Each car battery has an Exponentially distributed lifespan with a mean of 4 years. At the beginning of last year (Jan. 1, 2019), Bob replaced all the batteries. a) (5 points) What was the expected number of Batteries that Bob had to replace last year? b) (5 points) What...
For this question, answers should be decimal with 4 digits to right of the decimal point. ex. 0.1234 Bob owns a car rental company that has a fleet of 10 cars. Each car battery has an Exponentially distributed lifespan with a mean of 2 years. At the beginning of last year (Jan. 1, 2019), Bob replaced all the batteries. a) (5 points) What was the expected number of Batteries that Bob had to replace last year? b) (5 points) What...
For this question, answers should be decimal with 4 digits to right of the decimal point. ex. 0.1234 Bob owns a car rental company that has a fleet of 10 cars. Each car battery has an Exponentially distributed lifespan with a mean of 3 years. At the beginning of last year (Jan. 1, 2019), Bob replaced all the batteries. a) (5 points) What was the expected number of Batteries that Bob had to replace last year? b) (5 points) What...
Bob owns a car rental company that has a fleet of 10 cars. Each car battery has an Exponentially distributed lifespan with a mean of 2 years. At the beginning of last year (Jan. 1, 2019), Bob replaced all the batteries. a) (5 points) What was the expected number of Batteries that Bob had to replace last year? b) (5 points) What was the probability that Bob had to replace 4 Batteries in 2019? c) (5 points) Bob replaced 3...
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please show all work For all parts of this question, assume the following: The CAPM holds. The riskless rate of return is 5%. The market portfolio has expected rate of return of 15% and standard deviation of 20%. 1. Burger Inc. stock has an expected rate of return of 4% per year and standard deviation of 30%. Linda Belcher says, “No rational person would hold a risky asset expected to return less than the riskless rate! It must be mispriced.”...