Say you’re a chemical engineer studying whether a certain trace impurity is present in a product. An experiment has a probability of 0.80 of detecting the impurity if it is present. The probability of not detecting the impurity if it is absent is 0.90. You have reason to believe that 40% of products actually contain the impurity. You perform an experiment which detected an impurity – what is the probability that the impurity is not really there?

Q: 2. Suppose that 60% of all California motorists are insured. Find the probability that more that 55%…

A: Proportion of motorists that are insured , p0 = 0.6 Here the sample size, n = 100 motorists  Here,…

Q: In an identical and independent experiment, suppose the probability of getting a "success"is 0.8.…

A: It is given that, In an identical and independent experiment,  the probability of success is p= 0.8…

Q: The probability that a person with certain symptoms has hepatitis is 0.7. The blood test used to…

A: Given that P  ( H ) = 0.7, P (+ve/H ) = 0.95 , P ( + ve / H' ) = 0.05 Find P( H/+ve ) = ?

Q: Over 100 people try to climb mt everest every year. Of those who try to climb everest, 31 percent…

A: The probability that a climber is at least 60 years old is 0.04 The probability that a climber is at…

Q: Everything else (e.g., sample size, effect size) stays the same, if alpha is changed from .01 to .05…

A: 1. The level of significance  is the probability of the rejection of the null hypothesis, when it is…

Q: Power companies severely trim trees growing near their lines to avoid power failures due to falling…

A: Given that  n=250 , p=20%=0.20 , q=1-p=1-0.20=0.80 Mean=μ(p)=0.20 Standard deviation=σ(p)…

Q: the age of Subject #101 is 71. Divide that age by 10 and put a % on it.  That is the probability of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 4. Assume, you throw (shot) a basketball until you make the basket r times. Assume, your chance of…

A: Consider the following notations, X=number of successesp=probability of single successq=probability…

Q: In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been…

A: Solution: From the given information, p=0.75 and n=289.

Q: Part (a) What is the probability that the PSA test will yield a positive result? (use four decimals…

A: Here given,  A Canadian male has recently had a Prostate Specific Antigen (PSA) test as to determine…

Q: are about to take the road test for your driver's licence. You hear that only 34% of candidates pass…

A:

Q: Suppose that the current positivity rate for a certain disease in a population is 2%. We decide to…

A: Given that, p= 0.02 So q= 1-p= 1-0.02= 0.98 And sample size, n= 12 So X~binomial(12,0.02)

Q: Power companies severely trim trees growing near their lines to avoid power failures due to falling…

A: Given that  Sample size=250 20% chemical kill sycamore trees  We have to find the probability that…

Q: Environmentalists have accused a large company in the eastern United States of dumping nuclear waste…

A: The objective of this question is to find the probability that both the fish and the animals that…

Q: 7. The probability that it rains during a hurricane is 1. What is the likelihood that it rains…

A: Probability value determines the likelihood of an event occurring. The probability values ranges…

Q: According to the information that comes with a certain prescription drug, when taking this drug,…

A: From the provided information, There is 17% chance of experiencing nausea(N) that is P (N) = 0.17…

Q: Bricks manufactured in a kiln are weighed every day to check them against the design weight. The…

A: Let us denote X=the number of bricks weighing less than the design weight n=sample size= 12…

Q: In an automated filling operation, when the process is run at slow speed, the probability of an…

A: Let Event X denote the incorrect fill. and Event Y denote the high speed process   P (X/Y) = 0.001 P…

Q: diagnostic

A:

Q: In a hypothesis test, the Type I error rate is a = 0.10. Suppose we %3D also know that the Type II…

A: The type I error is Rejection of True null hypothesis. The type II error is fail to reject a false…

Q: An experiment consists of rolling a weighted die. The probability of rolling each number is:…

A: Given information: The probability of rolling each number is: P[1] = 0.15, P[2] = 0.2, P[3] = 0.15,…

Q: When doing blood testing for a viral infection, the procedure can be made more efficient and less…

A: Let X be a random variable associated with the number of people tests positive. It is clear that 4…

Q: A sample of 400 adults were surveyed on their health. 78 of those studied have high blood pressure,…

A: Solution: Given that : Total people = 400No of people that are unwilling to change diet = 94

Q: The incidence of a certain disease in the population is estimated to be 0.5%. That is, the…

A:

Q: What is the probability of scoring 25 or above on a test? I've just got some values below, not sure…

A: Solution: From the given information, mean is 23.5, standard deviation is 3.5 and z-score is 0.43.

Q: is estimated that 5% of the athletes competing in a large tournament are users of an illegal drug to…

A: Given that : It is estimated that 5% of the athletes competing in a large tournament are users of an…

Q: A study showed that the sex ratio of children born to families in a native community of Ontario…

A: A study showed that the sex ratio of children born to families . Given: A news paper report about…

Q: You are playing Farkle. If you roll six dice, what is the probability of getting four 2's (exactly…

A: Given, No of dice = 6