Question

Consider the following: P(x year old survives 1 more year) = 0.99 P(x year old survives...

Consider the following:

P(x year old survives 1 more year) = 0.99

P(x year old survives 10 more years) = 0.65

P(x-1 year old survives 2 more years) = 0.98505

P(x-1 year old survives to age (x+6)) = 0.8067

P(x+1 year old has a future lifetime between 7 and 9 years) = 0.124

Calculate the probability that an x+1 year old has a future lifetime between 5 and 7 years.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given,

P(x year old survives 1 more year) = 0.99

P(x year old survives 10 more years) = 0.65

P(x-1 year old survives 2 more years) = 0.98505

P(x-1 year old survives to age (x+6)) = 0.8067

P(x+1 year old has a future lifetime between 7 and 9 years) = 0.124

the probability that an x+1 year old has a future lifetime between 5 and 7 years is

= P(x year old survives 10 more years) - P(x+1 year old has a future lifetime between 7 and 9 years)

= 0.65 - 0.124

= 0.526

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose we consider a bus "old" if it has been in service more than 8 years....
Suppose we consider a bus "old" if it has been in service more than 8 years. At the 0.01 significance level, can we conclude that less than 40% of the district's buses are old? Report the p-value. Age 5 2 10 2 2 5 10 8 7 9 10 10 4 6 6 6 3 3 8 8 3 9 7 3 9 8 4 6 9 6 9 9 1 6 8 9 9 11 9 7 6 9...
7. Consider the following data: x 6 7 8 9 10 P( X = x )...
7. Consider the following data: x 6 7 8 9 10 P( X = x ) 0.3 0.1 0.2 0.1 0.3 Step 1 of 5: Find the expected value E(X) E ( X ) . Round your answer to one decimal place. Step 2 of 5: Find the variance. Round your answer to one decimal place. Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Step 4 of 5: Find the value of P(X<9)P(X<9)....
The table below shows a sample of the distribution of income per age group for clients...
The table below shows a sample of the distribution of income per age group for clients that have bought an iPad in 2019 Age <$25,000 $25,000-50,000 >$50,000 <25 years old 5% 10% 4% 25-35 years old 5% 20% 12% 36-55 years old 7% 15% 9% >55 years old 3% 5% 5% Determine the following probabilities: 4) P (income more than $25,000) = 5) P P (Income less than $50,000) = 6) P (Age more than 55 years old) = 7)...
Consider the following data: x 5      6   7    8 9 P ( X = x...
Consider the following data: x 5      6   7    8 9 P ( X = x ) 0.1 0.1 0.3   0.1 0.4
Consider the following data: x 5 6 7 8 9 P(X=x)P(X=x) 0.30.3 0.1 0.1 0.3 0.2...
Consider the following data: x 5 6 7 8 9 P(X=x)P(X=x) 0.30.3 0.1 0.1 0.3 0.2 Copy Data Step 2 of 5 : Find the variance. Round your answer to one decimal place.
(1) Consider X that follows the Bernoulli distribution with success probability 1/4, that is, P(X =...
(1) Consider X that follows the Bernoulli distribution with success probability 1/4, that is, P(X = 1) = 1/4 and P(X = 0) = 3/4. Find the probability mass function of Y , when Y = X4 . Find the second moment of Y . (2) If X ∼ binomial(10, 1/2), then use the binomial probability table (Table A.1 in the textbook) to find out the following probabilities: P(X = 5), P(2.9 ≤ X ≤ 4.9) (3) A deck of...
The random variable X has the following density function f(x) = ( c(1 + x 2...
The random variable X has the following density function f(x) = ( c(1 + x 2 ) if 0 < x < 1 0 if otherwise a./ Find the value of c. b./ Find E(X). c./ Suppose that the random variable X represents the lifetime of a water filter (of a refrigerator) measured in years. What is the probability that a randomly selected filter will live more than half a year. d./ If a restaurant orders 6 such filters for...
6. You have been provided the following probability distribution: Pets P(x) x*P(x) (x-µ)²P(x) 0 0.330 1...
6. You have been provided the following probability distribution: Pets P(x) x*P(x) (x-µ)²P(x) 0 0.330 1 0.270 2 0.300 3 0.050 4 0.025 5 0.020 6 or more 0.005 Let x = the total number of pets in a household a. Complete table b. What is the probability of a household having no pets? c. What is the probability of a household having exactly 3 pets? d. What is the probability of a household having between 1 and 3 pets?...
4. (1 point) Consider the following pmf: x = -2 0 3 5 P(X = x)...
4. (1 point) Consider the following pmf: x = -2 0 3 5 P(X = x) 0.34 0.07 ? 0.21 What is the E[ X 1 + X ] 5. (1 point) Screws produced by IKEA will be defective with probability 0.01 independently of each other. What is the expected number of screws to be defective in any given pack? Hint: you should be able to recognize this distribution and use the result from the Exercises at the end of...
You are given the following Discrete Probability Distribution p(x) Row x P(x) 1 1 0.1 2...
You are given the following Discrete Probability Distribution p(x) Row x P(x) 1 1 0.1 2 2 0.156 3 3 0.147 4 4 0.2 5 5 0.222 6 6 0.056 7 7 0.02 8 8 0.099 1 Provide the following: Mean (Expected value) Variance Standard Deviation Graph (Histogram) of the Probability Distribution
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT