5. The probability of a "Yes" outcome for a particular binary (yes/no) event is 0.1. For...

5. The probability of a "Yes" outcome for a particular binary (yes/no) event is 0.1. For a sample of n=1000 such events, let X be the number of "Yes" outcomes. Use the Normal approximation to the Binomal distribution to answer the following questions.

a. What is the probability the X is less than 80: P(X<80)?

b. What is the probability that X is greater than 115: P(x>115)?

c. What is the probability that the proportion of Yes outcomes is greater than 0.08: P[(X/n)>0.08]?

d. What is the probability that the proportion of Yes outcomes is less than 0.115: P[(X/n)<0.115]?

Expert Solution

milcah answered 1 year ago

A B C Prob Outcome % Prob Outcome % Prob Outcome % 0.4 3 0.1 5...

A B C Prob Outcome % Prob Outcome % Prob Outcome % 0.4 3 0.1 5 0.1 5 0.3 4 0.2 6 0.1 7 0.1 6 0.1 8 0.2 8 0.1 7 0.2 9 0.2 9 0.1 9 0.4 10 0.4 11 Using the following information, which investment would be most preferred using Roy's safety first criterion, if RL=7%. Either B or C (indistinguishable) Only B Only A Either A or B (indistinguishable) Only C Either A or C (indistinguishable)

Probability A B 0.1 (7 %) (20 %) 0.1 5 0 0.6 15 21 0.1 22...

Probability A B 0.1 (7 %) (20 %) 0.1 5 0 0.6 15 21 0.1 22 27 0.1 30 48 Calculate the expected rate of return, , for Stock B ( = 14.00%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 16.74%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for...

Discuss how the statistical definitions of “probability,” “experiment,” “outcome,” and “event” differ from the way most...

Discuss how the statistical definitions of “probability,” “experiment,” “outcome,” and “event” differ from the way most people use these terms in everyday life. How would most non-statisticians describe the probability of an event happening if the statistical likelihood of it occurring was .75?

Bird Corporation has a 0.1 probability of a return of -0.23, a 0.1 probability of a...

Bird Corporation has a 0.1 probability of a return of -0.23, a 0.1 probability of a rate of return of 0.07, and the remaining probability of a -0.10 rate of return. What is the variance in the expected rate of return of Bird Corporation?

1. The probability of event A is 60%, the probability of event B is 40%, and...

1. The probability of event A is 60%, the probability of event B is 40%, and the probability of either A or B is 65%. What is the probability of events A and B simutaneously? 2. 50% of items are Type A, 30% are Type B, and 20% are Type C. each type is broken up into V1 and V2. Type A is 80% V1, Type B is 60% V1, and Type C is 30% V1. If a randomly selected...

In probability theory, a conditional probability measures the probability of an event given another event has...

In probability theory, a conditional probability measures the probability of an event given another event has occurred. The conditional probability of A given B, denoted by P(A|B), is defined by P(A|B) = P(A ∩ B) P(B) , provided P(B) > 0. Show that the conditional probability defined above is a probability set function. That is show that a) P(A|B) ≥ 0 [4 Marks] b) P(S|B) = 1. [4 Marks] c) P( S Ai |B) = PP(Ai |B) [4 Marks]

A particular event has a probability of occurrence of p=0.65. Given 12 independent trials, draw the...

A particular event has a probability of occurrence of p=0.65. Given 12 independent trials, draw the probability distribution and calculate the expected value. A particular event has a probability of occurrence of p=0.65. If each outcome is independent of the last, draw the probability distribution associated with the event not occurring a given number of consecutive times and calculate the expected value. Given the following scenario, determine which distribution (binomial, geometric, hypergeometric) is the most appropriate to model it? Rank...

Explain the outcome of 3^4^5. In particular, what is the order of execution of the two exponentiation operations?

Explain the outcome of 3^4^5. In particular, what is the order of execution of the two exponentiation operations? Write (5^4^3)−1 as a product of prime numbers. The greatest common divisor of two integers a and b can be written as a linear combination (with integer coefficients k and ℓ) of a and b: gcd(a,b)=ka+ℓb. In Sage this is achieved with the command xgcd. Look in the help page of this command to write the greatest common divisor of 12214...

A surgeon performs 5 surgeries in a week. Each surgery has 0.1 probability of developing complications....

A surgeon performs 5 surgeries in a week. Each surgery has 0.1 probability of developing complications. If the surgeries are independent find: a. The probability all 5 surgeries develop complications b. The probability at least one of the surgeries develop complications. c. Exactly two of the surgeries develop complications

The probability distribution shows the probability of each possible outcome, zero through 15. That is, if...

The probability distribution shows the probability of each possible outcome, zero through 15. That is, if you were to ask a total of 15 people to sample both Coke and Pepsi, the probability distribution you have created will show you the chance that any specific number of people will guess correctly. Print out the distribution and then respond manually to the following questions: 1. Is the distribution collectively exhaustive? What is the evidence for your answer?

Question