If a clothing store customer takes a pair of pants from the rack, removes all of the external sales tags, and then approaches the sales clerk for a refund, what crime may be charged?

Theft
Criminal mischief
Embezzlement
None of the above

John wins $1,00,000 in a lottery and will be paid 20 equal installments of $50,000 with the first payment due today. A banker offers to exchange John’s winnings for a perpetuity of $ X per month with the first payment due today. Find the value closest to $ X assuming a 10% effective rate of interest.

(A) $3,330 (B) $3,360 (C) $3,550 (D) $3,700 (E) $3,730

I'd appreciate it if you could let me know.

Consider a sample of

48

football games, where

25

of them were won by the home team. Use a

0.05

significance level to test the claim that the probability that the home team wins is greater than one-half.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

Upper H 0H0 :

pequals=0.5

Upper H 1H1 :

pnot equals≠0.5

B.

Upper H 0H0 :

pgreater than>0.5

Upper H 1H1 :

pequals=0.5

C.

Upper H 0H0 :

pequals=0.5

Upper H 1H1 :

pgreater than>0.5

Your answer is correct.

D.

Upper H 0H0 :

pequals=0.5

Upper H 1H1 :

pless than<0.5

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

nothing.

(Round to two decimal places as needed.)

Identify p-values

A coin is tossed three times. X is the random variable for the number of heads occurring.

a) Construct the probability distribution for the random variable X, the number of head occurring. b) Find P(x2). c) Find P(x1). d) Find the mean and the standard deviation of the probability distribution for the random variable X, the number of heads occurring.

The number of gallons of paint that Home Depot sells in a given day is normally distributed with a mean of 197 gallons and a standard deviation of 45 gallons (I realize that the distribution is probably different for weekends compared to weekdays, but just assume everyday has the distribution). How many gallons of paint have to be sold in a given day in order for that day to be in the top 5% of the highest number of gallons sold? (please round your answer to 2 decimal places)

One kg of water in a piston-cylinder assembly, initially at 1.5 bar and 200 C, cools at constant pressure with no internal irreversibilities to a final state where the water is a saturated liquid. For the water as the system, determine the work, the heat transfer, and the amounts of exergy transfer accompanying work and heat transfer, each in kJ. Let T0 = 20 °C, p0=1 bar and ignore the effects of motion and gravity.
THERE ARE SOME DIFFERENT ANSWERS TO THIS QUESTION. I FOUND AN ANOTHER ANSWER, I HAVE MANY QUESTION MARKS IN MY MIND. ADDITION OF EXERGY TRANSFER ACCOMPANYING WORK AND HEAT SHOULD BE EQUAL TO E2-E1. SINCE ITS INTERNALLY REVERSIBLE. ON THE OTHER HAND WHEN I USE 'E2-E1=(U2-U1)+P0×(V2-V1)-T0(S2-S1)' I FIND AN ANOTHER NUMBER. PLEASE HELP.

A box contains 4 quarters, 3 dimes, and 2 nickels.

a. Two coins are selected at random without replacement one at a time. Compute the probability that the first coin is a dime and the second is a nickel.

b. Three coins are selected at random with replacement. Compute the probability that at least one of them is a nickel.

c. Construct a probability distribution of the number of quarters selected for a procedure of selecting three coins without replacement.

d. Copy the probability distribution you constructed below and extend it to compute the expected number and the standard deviation.

A box contains 4 quarters, 3 dimes, and 2 nickels.

a. Two coins are selected at random without replacement one at a time. Compute the probability that the first coin is a dime and the second is a nickel.

b. Three coins are selected at random with replacement. Compute the probability that at least one of them is a nickel.

c. Construct a probability distribution of the number of quarters selected for a procedure of selecting three coins without replacement.

d. Copy the probability distribution you constructed below and extend it to compute the expected number and the standard deviation.

1. The discrete random variable X is the number of passengers waiting at a bus stop. The table below shows the probability distribution for X. What is the expected value E(X) for this distribution?

Answer the following questions using the given probability distribution.

1. Expected value E(X) of the number of passengers waiting at the bus stop.
2. Probability that there is at least 1 passenger at the bus stop.
3. Probability that there are less than 2 passengers at the bus stop.

7. Hunting :

The probability that an eagle kills a rabbit in a day of hunting is 10%. Assume that results are independent for each day.

(a) Write the probability mass function for the number of days until a successful hunt.

(b) What is the probability that the first successful hunt occurs on day five?

(c) What is the expected number of days until a successful hunt?

(d) If the eagle can survive up to 10 days without food (it requires a successful hunt on the 10th day), what is the probability that the eagle is still alive 10 days from now?