If you fail to reject the null hypothesis at the 5% level, then the probability that you are wrong is always 5%.

Q: What is the sum of the probabilities of all outcomes in a probability distribution

A: To determine, Sum of all probabilities of a probability distribution = ?

Q: How low must the probability value be in order to conclude that the null hypothesis is false?

A: P-value or probability value: P-value or probability value method involves the probability of…

Q: .What type of error did you make

A: Type 1 error is known to be a false positives. Type 2 error is known to be a false negatives.

Q: How close are the experimental probabilities to the theoretical probabilities? Write a brief…

A: Given information: X Theoretical probability  Experimental probability 0 0.0009   1 0.009…

Q: Discuss the applications of error probability?

A: Before discussing the applications of error probability, first we discuss about the error…

Q: How do you graphically portray the probability distribution of a discrete random variable?

A: Probability Histogram: A probability histogram is the graph of a probability distribution that gives…

Q: he other part of the question is: If the null hypothesis is rejected, what is the actual risk of…

A: The paired sample t-test, sometimes called the dependent sample t-test, is used to determine whether…

Q: If the probability of mistakenly failing to reject the null hypothesis is 0.20, what is the…

A: A Type I error is when we reject a true null hypothesis. Lower values of α make it harder to reject…

Q: Find the probability of exactly four successes in five trials of a binomial experiment in which the…

A: Find probability

Q: In an experiment consisting of three flips of a fair coin, what is the probability that the first…

A: Given that  In an experiment consisting of three flips of a fair coin what is the probability that…

Q: Explain in your own words the relationship between the Gamma, Exponential and Chi- Square…

A: Gamma Distribution: Let X be a random variable which follows a gamma distribution. Let the shape…

Q: What does the power of a hypothesis test tell you? How is it related to the probability of making a…

A: Solution: It is required to mention what does the power of a hypothesis test tell you? How is it…

Q: What do you mean by objective and subjective probabilities? Fit one simple real-life example in each…

A: Objective probability is based on observation of experiments where as subjective probability is…

Q: For the experiment of rolling an ordinary pair of​ dice, what is the probability that the sum will…

A: When two dice are rolled then the sample space is   n(S)=36

Q: For a binomial experiment with r successes out of n trials, what value do we use as a point estimate…

A: In binomial distribution P is probability of success and n is number of trials.  Let  random…

Q: In a hypothesis test, the Type I error rate is set to a = 0.10. When the null hypothesis is false,…

A: Type I error: In hypothesis testing the Type I error is said to be committed when true null…

Q: If X ~ exp ((b), calculate the probability that X exceeds its expected value.

A: It is given that X~Exp(b), the PDF PDF of X is given by,

Q: In the experiment of rolling two dice, what is the probability that the absolute value of the…

A:

Q: What are the different Shortcomings of the linear probability model?

A:

Q: In what cases would you use the binomial distribution? Give two examples of what would be considered…

A: Given that We have to find the case when we use binomial distribution and it's example

Q: How does the Bayes Theorem differ from the conditional probability? Can you please explain it in…

A: Conditional Probability :  If the occurrence of an event is based on the occurrence of previous…

Q: If the probability of contracting a certain illness is 0.0433, would it be considered statistically…

A: Let p be the probability of contacting a certain illness  Given  p=0.0433

Q: Derive the expected value of Y? (0, else

A: Given:  Distribution function of Lifespan of bulb is given  f(y)=(y*e^-y/10)/100      : y>0  Then…

Q: Should the one-tailed or the two-tailed probability be used to assess performance  of the students?

A: The tail of the test depends on the alternative hypothesis of the test. The possible alternative…

Q: piping and subsurface erosion will occur is 10-3. What is the probability of failure of the dam,…

A:

Q: What is the two-tailed probability value testing the null hypothesis that the population mean is 0?…

A:

Q: The power of the test can be interpreted as the probability of incorrectly rejecting a false null…

A: From the provided information, The statement is that the power of the test interpreted as the…

Q: In research, it is conventional to reject the null hypothesis if the probability value is lower than…

A: The decision rule of the hypothesis test is given as follows: If the p-value ≤ α, then the null…

Q: Why is the expected value 50.50? When you've said it should be 100/2 in the explanation?

A: GivenA fair 100 sided dice is rolled where each outcome has equal probability =1100The expected…

Q: What does the probability distribution of a discrete random variable tell you?

A: The discrete random variable is obtained by counting values for which there are no in-between…

Q: If a person tests negative, what is the probability that the person is actually free of the disease?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: What is meant by the term Cumulative Distribution Function? And how would you apply it to the…

A: Lets assume that we have been provided with a discrete probability function such that : X 3 4 6 7…

Q: Describe how a probability value is used to cast doubt on the null hypothesis?

A:

Q: If you fail to reject the null hypothesis at the 5% level, then the probability that you are wrong…

A: The type I error is defined as the rejecting the null hypothesis when actually it is true.

Q: You have conducted a series of experiments to reduce the proportion of scrapped battery cells to 1%…

A:

Q: What is true about using the binomial probability distribution to test claims about a proportion?

A: Given that, True about using the binomial probability distribution to test claims about a…

Q: Why should the sum of the probabilities in a probability distribution is always equal to 1? What is…

A: *Answer:

Q: What would be the expected value, variance and standard deviation of an event that always took the…

A:

Q: If the probability is below 0.01, the data provide strong evidence that the null hypothesis is…

A: P-value or probability value: P-value or probability value method involves the probability of…

Q: Suppose there is a disease, whose average incidence is 1 per million people. What is the probability…

A: Given Suppose there is a disease, whose average incidence is 1 per million people.

Q: What is the relationship between the joint probability and marginal probabilities of two independent…

A: The relationship between the joint probability and marginal probabilities of two independent events…

Q: You are performing a cohort study. (i) If the probability of developing the disease in the exposed…

A:

Q: Based on historical data, an insurance company estimates that a particular customer has a 1.4%…

A: Given: The annual premium = $50 Average insurance payout = $1500 Likelihood of having accident =…

Q: A church is holding a raffle and sells 500 tickets for $2 each. If the church awards one $100 first…

A: Note:Hey there! Thank you for posting the question. Your question says “what is the expected value…

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always…

A: The requirements for a discrete probability distribution are,

Q: What is the probability of experiencing only nausea?

A: There is a 15% chance of experiencing nausea (N). That is, PN=0.15, 48% chance of experiencing…

Q: In a hypothesis test, if our calculated probability is greater than alpha, we should accept the null…

A:

Q: The annual premium for a ​$5,000 insurance policy against the theft of a painting is ​$250.  If the​…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.