Suppose that the probability that a passenger will miss a flight is 0.0943. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 58 passengers.
(a) If 60 tickets are sold, what is the probability that 59 or 60 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 64 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of 53 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below
55%?
In: Statistics and Probability
What is the probability, p(A|B), where A is the roll of a “3” or a “4” on a fair die and B is the probability of tossing exactly two heads out of 4 tosses with a fair coin? It is assumed the rolls of the die and the tosses of the coins are independent. Provide your answer as a reduced fraction.
In: Statistics and Probability
The probability of winning on a lot machine is 5%. If a person plays the machine 500 times, find the probability of winning 30 times. Use the normal approximation to the binomial distribution.
A travel survey of 1500 Americans reported an average of 7.5 nights stayed when they went on vacation. Find a point estimate of the population mean. If we can assume the population standard deviation is 0.8 night, find the 95% confidence interval for the true mean.
SHOW CLEAR AND EASY WORK TO FOLLOW PLEASE
In: Statistics and Probability
The probability distribution of returns for Stocks A and B are given in the table below. If you invest $1,200,000 in Stock A and $800,000 in Stock B, calculate the expected return of your portfolio.
| State of Economy | Probability of state | Stock A's Return | Stock B's Return |
| Boom | 0.20 | 40% | 28% |
| Normal | 0.40 | 25% | 12% |
| Slow Down | 0.30 | 0% | 7% |
| Recession | 0.10 | -20% | 0% |
a.16.00%
b.15.2%
c.12.8%
d.14.6%
Group of answer choices
In: Finance
Suppose that the probability that a passenger will miss a flight is 0.09420. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 58 passengers.
(a) If 60 tickets are sold, what is the probability that 59 or 60 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 64 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with a seating capacity of 53 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 5%?
In: Statistics and Probability
A cloth manufacturer finds that 8% of their production are defective. What is the probability that a batchof 10 willcontain (a) more than two defectives? (b) Less than seven defectives? (c) Exactly eight defectives.
In: Statistics and Probability
The------------------ is a probability value determined by the experimenter to define the critical values
a. beta level
b. standard error of the mean
c. observed value
d. alpha level
In: Statistics and Probability
Without replacement, what is the probability that
a) first card drawn is a jack, and the second card drawn is a queen
b) both cards drawn are red
In: Statistics and Probability
Suppose that the probability that a passenger will miss a flight is 0.0993. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 50 passengers. (a) If 52 tickets are sold, what is the probability that 51 or 52 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 56 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 53 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 5%?
In: Statistics and Probability
The population proportion is 0.36. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.)
A)n=100
B)n=200
C)n=500
D)n=1000
What is the advantage of a larger sample size?
In: Statistics and Probability