Please see the attachment for fully formatted problems.

1- The assistants have .50 probability of going on strike, .40 the pilots and .15 that both go on strike.
a) Determine of the probability the pilots go on strikes and if the assistant will also. Indicate the probability and that condition

2- Probability of increase of house sales in 6 months is considered in 0.25 the interest rate on loans of the same period is 0.74. The probability that both (sale of houses and interest rate) increase considers to .10
a) Determine probability of increase in that period.

3) The owner of a fish market determines that the t average weigh of a fish is 3.2 pounds with a standard deviation of. 8 pounds. Suppose that the weight of the fish follows a normal distribution.
a). determine probability that the fish weighs less than 2.2 pounds.
b) Determines the probability that the fish weighs between 3 and 5 pounds.

4) A salesman clears 20% of phone calls in one sale. Suppose that the probability of one sale is one independent call from others.
a) Determine the probability that a salesman makes 4 sales in 10 calls.
b) Determine the probability that the salesman makes 4 sales or more in 10 calls

5) In a ballot box of balls, of different colors, 20 black, 50 red, 50 blue o, 60 green, 70 white.

a) Determines the probability to pick a red one

b) Determine the probability to pick a red o black ball.

Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 100 minutes and a standard deviation of 20 minutes. What proportion of 1040R tax forms will be completed in less than 60 minutes? Round your answer to at least four decimal places.

Assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) green.
The spinner is divided into 8 halves. There are (a) red = 4, (b) green = 1, (c) yellow = 1, and (d) blue = 2
The spinner landed on yellow so it would be 1/8 or 1:8, right?

An elevator has a design capacity of 2,560 pounds and a posted limit of 16 passengers. The weight of adults is approximately normal with a mean of 150 pounds and standard deviation of 20 pounds.
Find the probability that the elevator will be overloaded if 16 people are in the elevator. How many passengers would you recommend

Please show all work.
1. Suppose that X has a Poisson distibution with parameter "lambda" = 3
Find P(X>0)
2. Suppose you toss ten coins and count the number of heads. What is the probability that the number of heads you count will lie within two standard deviations of the mean?
3. Consider a sequence of 600 Berno

A coin is tossed 20 times. A person, who claims to have ESP is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probabiity seem to verify her claim?

Suppose an individual investor starts with a portfolio that consists of one randomly selected stock.
a. What will happen to the portfolio's risk if more and more randomly selected stocks are added?
b. What are the implications for investors? Do portfolio effects have an impact on the way investors should think about the risk

A student got 50% of the questions on an algebra test correct. If he answered 10 out of the first 12 questions asked correctly but missed 3/4 of the remaining questions, how many questions were on the test?

You are conducting a marketing research study for an internal department in your company. You are proposing using unstructured questions.
Explain to your internal client the advantages and disadvantages of unstructured questions as compared to structured questions.

Bad questions prevent or distort communication between the researcher and the respondent. In what ways can a researcher frame "bad questions?" What are some examples of what you would consider bad questions that you have seen or can imagine in a survey?