Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.   (a) Find the probability of success, given that a climber is at least 60 years old.    Probability               (b) Is success in climbing Everest independent of age?    Yes No

Question

Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.
 
(a) Find the probability of success, given that a climber is at least 60 years old.
  
Probability            
 
(b) Is success in climbing Everest independent of age?
  

  • Yes
  • No

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Sale Prices for Houses The average sales price of new one-family houses in the Midwest is $250,900 ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: The data output is the result from Verizon airport data speeds measured in Mbps.A 95% confidence lev...

A: Click to see the answer

Q: What is the test statistics for this test?

A: State the hypotheses That is, there is no evidence that the population mean waiting time to check o...

Q: A box at a miniature golf course contains contains 9 red golf balls, 6 green golf balls, and 7 yello...

A: Given information- A box contains, 9 red, 6 green, and 7 yellow balls. So, total number of balls in ...

Q: Although the rules of probability are just basic facts about percents or proportions, we need to be ...

A: a) The two events are defined as, A = The person chosen is obese and B = The person chosen is overwe...

Q: Statistics Question

A: Solution: A. Let X be the widget weight. From the given information, X follows normal distribution w...

Q: Custom-Home Resales. Use the technology of your choice to obtain the requested point estimate and co...

A: The data gives sale price for custom-home resales in Phoenix, Arizona measured in thousand dollars (...

Q: A recent study of cardiovascular risk factors reported that 30% of adults met criteria for hypertens...

A: Click to see the answer

Q: If the z-value for a given x of a random variable Z is z =1.06, and the distribution of X is normal ...

A: Click to see the answer

Q: 3) Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes...

A: Click to see the answer

Q: In regressing a response variable on several predictor variables, describe the effect of severe mult...

A: a. Multicollinearity: Multicollinearity is defined as the presence of correlation among the predicto...

Q: Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard...

A: Obtain the standard z-score for the random variable equals 140 The standard z-score for the random v...

Q: In a randomized block ANOVA, why is there no test for interaction?

A: The randomized block design assumes that there is no interaction between the treatment factor and th...

Q: (a) A researcher reports that the average salary of a professor is more than 24000 RO. A sample of 3...

A: State the hypotheses That is, there is no sufficient evidence to conclude that the average salary o...

Q: In a manufacturing industry, the amounts which go into raw materials (Scraps) are supposed to be nor...

A: Denote the scarp that is declared out of control by a random variable X. Given that the scraps that ...

Q: In a bar chart, unlike in a histogram, the bars do not abut. Give a possible reason for that.

A: Click to see the answer

Q: Low-Birth-Weight Hospital Stays. Data on low-birthweight babies were collected over a 2-year period ...

A: Click to see the answer

Q: Calculate SS, variance, and standard deviation for the following population of N=5 scores: 2, 13, 4,...

A: Click to see the answer

Q: Survey Return Rate In a study of cell phone use and brain hemispheric dominance, an Internet survey ...

A: It is given that sample size n is 5,000 and number of subjects returned the e-mailed survey (x) is 7...

Q: In Exercises 6–10, assume that women have diastolic blood pressure measures that are normally distri...

A: Click to see the answer

Q: If np 5 and nq s5, estimate P(fewer than 3) with n=D14 and p 0.4 by using the normal distribution as...

A: Identify the correct option to obtain the probability that fewer than 3. The correct option is ident...

Q: Normal Distribution What’s wrong with the following statement? “Because the digits 0, 1, 2,…, 9 are ...

A: It is given that, the digits 0, 1, 2 ... 9 are the normal results from lottery drawings.

Q: Assume that the variables under consideration satisfy the assumptions for regression inferences. Fil...

A: Click to see the answer

Q: Identify the formula for the margin of error for the estimate of a population mean when the populati...

A: Margin of error: Margin of error is a range of values that lie above and below the sample statistic ...

Q: Treating Psychotic Illness. L. Petersen et al. evaluated the effects of integrated treatment for pat...

A: Click to see the answer

Q: To investigate the relationship between the milage and sales price for a popular car model the pictu...

A: The variable x represents the mileage and y represents the sales price for a popular car model. The ...

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-sh...

A: Introduction: The empirical rule for a normally distributed random variable is as follows: About 68...

Q: The following data shows the yearly income (in $1000) and age of a sample of seven individuals. ...

A: From the given information, age income 18 20 20 24 23 24 34 25 24 ...

Q: 6) When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found ...

A: 6) From the provided information, 1304 gas pumps were not pumping accurately and 5689 pumps were acc...

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a popul...

A: Effect on margin of error: If the sample size increases, then the standard error of statistic decrea...

Q: Can you please help me answer and understand this problem? Thank you!

A: Given information- Sample size, n = 1000 Margin of error, E = 4.3% = 0.043

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 a...

A: Click to see the answer

Q: An experiment has been conducted for four treatments with eight blocks. Complete the following analy...

A: From the given information,  The ANOVA table can be prepaid as: Number of treatment =4 Number of blo...

Q: The data output is the result from Verizon airport data speeds measured in Mbps. A 95% confidence le...

A: Click to see the answer

Q: Can you please help me with this question? I will rate! Thank you!

A: The mean of the random variable X is, The interpretation of the mean is, As the number of experimen...

Q: Litigation Surveys. In the article, “Non-probability Sampling Designs for Litigation Surveys (Tradem...

A: Cluster sampling: Cluster sampling is a method of sampling in which, the population is divided into ...

Q: How many standard deviations to either side of the mean must we go to ensure that, for any data set,...

A: Click to see the answer

Q: A professor wishes to see if students show a time preference for statistics classes. Asample of four...

A: Hypotheses: H0: Students show  no preference for class timings. H1: Students show preference for cla...

Q: Checking Requirements Common tests such as the SAT, ACT, Law School Admission test (LSAT), and Medic...

A: Click to see the answer

Q: Can you please help me answer and understand this problem?   Thanks!

A: It is given that 23% of all homes purchased last year were considered investment properties.

Q: We have provided simple data sets for you to practice the basics of finding a a. population mean. b....

A: Click to see the answer