XSORT Method of Gender Selection When testing a method of gender selection, we assume that the rate of female births is 50%, and we reject that assumption if we get results that are unusual in the sense that they are very unlikely to occur with the 50% rate. In a preliminary test of the XSORT method of gender selection, 14 births included 13 girls. Assuming a 50% rate of female births, find the probability that in 14 births, the number of girls is 13.

answer

a. 0.0000854

b. -0.000854

c. 0.00854

d. 0.000854

The percent of blue-eyed people in the US is estimated to be about 15%. A random sample of 20 Providence College students is taken.
a) Use the binomial distribution to find the probability that [Round to 4 decimal places .XXXX]
(i) None of the 20 students have blue eyes.
(ii) at most 5 have blue-eyes
(iii) 3 or more have blue-eyes
b )Find the expected number of students who would have blue-eyes in a random sample of 20.

ACME Company is world famous for its fireworks. Wylie coyote limited is their main buyer. But Wylie coyote consumers lately realized some fireworks are defective. After a survey it was revealed that 1% of fireworks produced by ACME Company are defective. A pack of 10 fireworks is selected and tested. Let X = number of fireworks that are defective.

a. Is this a binomial setting? Justify your answer. b. Is X discrete or continuous c. Find the probability that at least 2 fireworks are defective d. Find mean and variance of X.

The Play 4 is won by selecting 4 digits. These can repeat themselves but the order does matter. You could win $5000 before taxes.

answer the following questions

How many ways can winning tickets be selected for this scenario? How did you determine this?

• What is the probability of winning this scenario? What formulas did you use to calculate this number?
• Do you think it is worth the risk if you pay $5 to participate? What about $10? $100?

A project has an initial, up-front cost of $10,000, at t = 0. The project is expected to produce cash flows of $2,200 for the next three years. The project’s cash flows depend critically upon customer acceptance of the product. There is a 60% probability that the product will be wildly successful and produce CFs of $5,000, and a 40% chance it will produce annual CFs of -$2,000.

At a 10% WACC, what is this project’s NPV with abandonment option? (Please write down the detailed steps or explanation, not just one number.)

An adult female of species felis catus has given birth to five individuals. The birth weight of the first four young, in grams, are x = 99, 82, 92, 91.

(a) What is the mean weight of the first four young?

(b) What is the standard deviation of the weight of the first four young?

(c) Assuming the birth weights of felis catus are normally distributed, what is the probability that the fifth young has a birth weight of 90g or less? (This must be expressed as a number between 0 and 1)

I roll a die 4 times. I win if a six appears. To make this game more interesting, I decide to add a second die and target the appearance of a double six. I reason as follows: a double
six is one-sixth as likely as a six — 1/36 compared to 1/6. I should be able to increase the number of rolls by a factor of 6 (now 24 rolls) and still maintain the same probability of
winning. Is this true? (Probabilistic justification is required here!)

Use the following information to answer questions 1 through 10:

You are trying to form portfolios based on the following information:

You also know the risk-free rate is 5%.

Calculate the Weight for STOCK A of the Minimum Variance Portfolio (put your answer as a number value of a percentage...5 for 5%).

In the game of​ roulette, a player can place a ​$4 bet on the number 14 and have a StartFraction 1 Over 38 EndFraction probability of winning. If the metal ball lands on 14​, the player gets to keep the ​$4 paid to play the game and the player is awarded an additional ​$140. ​ Otherwise, the player is awarded nothing and the casino takes the​ player's ​$4. What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose?

Matt and his wife have 20 good friends, twelve of them are male and eight of them are female. They decide to have a diner party but can invite only eight guests. They decide to invite their guests by drawing their names from a hat. What is the probability that a) There will be an equal number of males and females at the dinner party? b) Mandie will be among those invited? c) There will be only one female guest? d) They will have only male guests? e) There will be at least one female guest?