At the Stop 'n Go tune-up and brake shop, the manager has found that an SUV will require a tune-up with a probability of 0.6, a brake job with a probability of 0.1 and both with a probability of 0.02. What is the probability that an SUV requires either a tune-up or a brake job?
In: Advanced Math
Credit risk puts both the principal loaned and expected interest
payments at risk. As a result, FIs issue financial claims that have
a risk–return profile with
A. high probability of fixed upside return
B. high probability of large downside risk
C. low probability of large downside risk
D. both high probability of fixed upside returns and low
probability of large downside risk
In: Finance
3) Binomial Probabilities.
Assume random guesses are made for eight multiple choice questions, each with p = .20 probability of guessing the correct answer. Round probabilities to 3 decimal places.
A.) Find the probability of guessing all of them correctly.
B.) Find the probability of getting exactly three correct.
C.) Find the probability of getting them all wrong.
D.) Find the probability that at least one is wrong.
In: Statistics and Probability
1) A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event.
a red 9
2) Assume that all elementary events in the same sample space are equally likely.
A pair of fair dice are tossed. What is the probability of obtaining a sum of 11? 10? 7?
| probability of obtaining a sum of 11 | ||
| probability of obtaining a sum of 10 | ||
| probability of obtaining a sum of 7 |
In: Statistics and Probability
According to a reliable source, 65% of murders are committed with a firearm. Suppose 15 murders are randomly selected. First construct a relative and cumulative frequency distribution for the situation. Then confirm that it is both a probability and binomial probability distribution.
a. Compute the mean
b. Compute the standard deviation
c. Find the probability that exactly 10 murders are committed with
a firearm.
d. Find the probability that at most 11 murders are committed with
a firearm.
e. Find the probability that at least 12 murders are committed with
a firearm
f. Find the probability that between 9 and 13 murders are committed
with a firearm.
In: Statistics and Probability
A total of 15 telephones have just been received at cell phone
repair shop. Five of these phones are iPhones, five are Samsung,
and the other five are LG. Suppose that these phones are randomly
allocated the numbers 1, 2, ... ,15, to establish the order in
which they will be serviced.
(a) What is the probability that all the iPhones are among the
first 10 to be serviced?
The probability is :
(b) What is the probability that two phones of each brand are among
the first six serviced?
The probability is :
(c) What is the probability that after servicing 10 of these
phones, phones of only two of the three brands remain to be
serviced?
The probability is :
In: Statistics and Probability
In: Statistics and Probability
5) A manufacturer of clothing knows that the probability of a button flaw (broken, sewed on incorrectly, or missing) is 0.002. An inspector examines 56 shirts in an hour, each with 4 buttons. Using a Poisson probability model, answer parts a and b below. a) What is the probability that she finds no button flaws? The probability that the inspector finds no button flaws is___ .(Round to three decimal places as needed.) b) What is the probability that she finds at least one? The probability that the inspector finds at least one flaw is___ (Round to three decimal places as needed.)
In: Statistics and Probability
Consider a region of single stranded DNA 7 nucleotides long with the 5' end on the left. Assume any site in this region may be occupied with equal probability by any of the 4 bases A,T,G or C.
How many possible base sequences are possible?
What is the probability the sequence contains only the base G?
What is the probability the sequence contains only two type of bases?
What is the probability the sequence is CGTGAGA?
What is the probability the sequence does not contain any A or G bases?
What is the probability the sequence contains alternating G and C sequence?
In: Math
Suppose your firm has three potential investments. The investments are either sucessful or not. Suppose that each investment has probability 1/2 of being successful.
a. What is the probability that the third investment is successful?
b. What is the probability that the third investment is successful, given that the three investments are either all successful or all not successful?
c. What is the probability that the third investment is sucessful, given that two of the three investments is successful?
d. Suppose now that the probability that investment 1 is successful is 0.845, the probability that investment 2 is successful is 0.5505, and the probability that investment 3 is successful is 0.4. Consider these two events: A: two of the three investments are successful, and B: investment 3 is successful. Are these events independent? Why or why not?
In: Statistics and Probability