A job shop consists of three machines and two repairmen. The amount of time a machine works before breaking down is exponentially distributed with mean 10. If the amount of time it takes a single repairman to fix a machine is exponentially distributed with mean 8, then (a) what is the average number of machines not in use? (b) what proportion of time are both repairmen busy?

Q: A share is priced currently at $100. One year from now, there is a 50% chance that the share price…

A: Chance for increase and decrease are same = 50 % hence either price increase by 70% or price…

Q: A running coach wants to know if participating in weekly running clubs significantly improves the…

A: Option a) is correct.

Q: What is the sampling distribution of x when µ = 0? Normal with mean 0 and standard deviation 60.…

A: The population mean is 0.

Q: Calculate the Relative Frequency of patients living less than 5 months after the start of treatment.

A: Since , n=40 Our aim is to Calculate the Relative Frequency of patients living less than 5 months…

Q: Twelve percent of the world's population is left-handed. A researcher daims that left-handed…

A: Solution: From the given information, the out of 1650 artists 10% are left-handed. The population…

Q: Now, suppose that the agronomist is also interested in how a particular type of fertilizer, in…

A: (d). Identify the experimental units in the study: The agronomist is interested to test how a…

Q: ABC Company is concerned about the amount of time their representatives spend on the phone with…

A: Given information- We have given the exponential distribution. We have given that the average time…

Q: Explain the term variability (this is not asking for a definition).

A: Here we want to explain Variability.

Q: Suppose that 39% of all patrons at Goldy's gym spend more than 10 hours a week at the gym. Goldy's…

A: Given that  n=60 , p=39%=0.39 , q=1-p=1-0.39=0.61 X~Binomial(n=60 , p=0.39) P=Probability Goldy's…

Q: Justin Timberlake's album "Justified" sold 10,000,000 copies in 2002. Beyoncé's self-titled album…

A:

Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

A:

Q: Suppose that historically, the proportion of people who trade in their old car to a car dealer when…

A: Givensample size(n)=115No.of old cars(x)=46p^=xn=46115=0.40

Q: Researchers claim that the surface temperature of the world's oceans mainly changes with changing…

A: The purpose of this experiment is to examine the claim that the surface temperature of the world's…

Q: Explain the importance of direct and indirect standardised death rates.

A:

Q: 6. A population study studied 22,000 male physicians who were assigned to either a low-dose aspirin…

A: Here we use Chi-square test for homogeneity. We use homogeneity tests when different samples come…

Q: Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment…

A: The formula of range is,

Q: Who Loves Dogs More?  A random sample of 180 U.S. households found that 62 of them had at least one…

A: Given: n1=first sample size=180n2=second sample size=200 Number of favorable cases in first…

Q: Suppose men always married women who were exactly 3 years younger. What would the correlation…

A: The correlation is the relation between two variables. If the value of the correlation coefficient…

Q: Errors in medical prescriptions occur relatively frequently. In a study, two groups of doctors had…

A: Given data is   Error No Error Total Electronic 254 3594   Written 1478 2370   Total…

Q: ) 5.2°F per month

A:

Q: Do people walk faster in the airport when they are departing (getting on a plane) or do they walk…

A: This means that there is a 10.2% probability of observing a mean difference as extreme as or more…

Q: It has been hypothesized that treatments (after casting) of a plastic used in optic lenses will…

A: In this problem, we have four treatments A, B, C, and D .Let us denote the true means of 4…

Q: A study was conducted in a factory, a set of data was collected to determine whether the proportion…

A: It is needed to check, whether the proportion of defective depend on the working shift.

Q: 3.3 Solve the below problem: A manufacturing plant uses a specific bulk product. The amount of…

A: In question, A manufacturing plant use a specific bulk product. The amount of product use in one day…

Q: A correlation of 0.95 for two variables X and Y implies that if X increases, there is a 95% chance…

A: Correlation is employed to estimate the linear relationship between the variables X and Y. Here the…

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A: Let X be the IQ score  n=400, p=0.5 ,pcap=0.48

Q: (a) Find the mean of p, wherep is the proportion of left-handed individuals in a random sample of…

A: Let p be the proportion of left-handed people. Given that p = 12 % = 0.12 Sample size is n = 1650.

Q: Researchers in Hawaii have recently documented a large increase in the prevalence of a bird parasite…

A: Scatter diagram: It is used to examine the relationship between y variable and x variable. Outliers:…

Q: An industrial plant dumps its waste into a nearby river and you want to investigate the level of…

A: The question is about confidence interval.Given :Randomly selected no. of locations ( n ) = 15Sample…

Q: Se Acase-control study was conducted to assess the relationship between alcohol consumption (ALC)…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Which of the following pairs quantities have a negative correlation? (A) Calorie- intake per day…

A: here we need to find the pairs quantities which have negative correlation. To found the pairs first…

Q: It known that the average number of drop out per month 2.3. If you would like to predict the number…

A:

Q: The correlation between a variable and itself is always equal to 0.5 -1 O 1

A: Correlation: Correlation measure the degree to which two variable are dependent on each other…

Q: How to construct the Cumulative Frequency Distributions? Explain with the example.

A: The cumulative frequency distribution is the sum of the class and all classes below it in a…

Q: Question 6 The Wall Street Journal reported that almost all the major stock market indexes had…

A: μ = 27, σ = 20, x = 30 z = (x - μ)/σ = (30 - 27)/20 = 0.15 P(x ≥ 30) = P(z > 0.15) = 0.4404 μ =…