Statistics and Probability Answers

I have seen the demonstration of beta distribution in youtube (https://www.youtube.com/watch?v=3vBBh0SDpqM) at the last B(m,n) is calculated as: (n-1)!(m-1)!/(m+n-1)!.

The question that I ask is:

This last result is obtained for m and n as integers ? if these last ones are réel, what will us obtained for the beta distribution.

I suppose that it will gamma distribution but i'm not sur.

company A is determining whether it should submit a bid for a new shopping center. In the past, their main competitor, company B, has submitted bids 90% of the time. if company b does not bid on a job, the probability that company A will get the job is 0.20. if company B bids on job, the probability that company A will the job is 0.15. if company A gets the job, what is the probability that company B did not bid. What is the probability that company A will get the job?

A disease is present in 22% of a population and is not present in the remaining
78%. An imperfect clinical test successfully detects the disease and with
probability 0.70. Thus if a person has the disease in the serious form, the
probability is 0.70 that the test will be positive and it is 0.30 if the test is negative.
Moreover among the unaffected persons, the probability that the test will be
positive is 0.05. (5)
(i) A person selected at random from the population is given the test and the
result is positive. What is the probability that the test will be positive is
0.05.
(ii) What is the probability that the test correctly detects cancer?

In a game you flip a coin twice, and
record the number of heads that occur.
You get 10 points for 2 heads, zero
points for 1 head, and 5 points for no
heads. What is the expected value for
the number of points you’ll win per
turn?

a chartered accoutant applies for a job in two firms X and Y.he estimates that the probability of his being selected in firm Xis 0.7 and being rejected in Yis 0.5 and the probability that atleast one of his applications rejected is 0.6.what is the probability that he willbe selected in one of the firms?

Suppose it is estimated that a person visiting Florida will visit Disney World, Busch Gardens, or both with probabilities 0.5, 0.3, and 0.2, respectively. Find the probability that a person visiting Florida will visit Busch Gardens given that the person did visit Disney World. (Enter your probability as a fraction.)

A firm has the following rules:
When a worker comes late there is ¼ chance that he is caught.
First time he is given a warning.
Second time he is dismissed.
What is the probability that a worker is late three times is not dismissed?

A CHARTERED ACCOUNTANT APPLIES FOR A JOB IN TWO FIRMS x and Y. HE ESTIMATES THAT THE PROBABILITY OF HIS BEING SELECTED IN FIRM X IS 0.7 AND BEING REJECTED IN Y IS 0.5 AND THE PROBABILITY THAT AT LEAST ONE OF HIS APPLICATIONS REJECTED IS 0.6 . WHAT IS THE PROBABILITY THAT HE WILL BE SELECTED IN ONE OF THE FIRMS

One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from the second bag is black?

Inspector Confidence wanted to estimate the mean weight of the eggs. He computed the 95% confidence interval estimate for \mu to be (47.52, 49.78). On the basis of this interval, what can he say about whether the mean weight of the eggs differs from 50 grams?