Two cards are randomly selected from a deck of 52 playing cards. (a) What is the probability they constitute a pair (that is, that they are of the same denomination)? (b) What is the conditional probability they constitute a pair given that they are of different suits?
In: Statistics and Probability
In older adults, a higher level of social support is related to
a) a lower probability of depression
b) Lower level of physical activity
c) an early cognitive decline
d) a higher probability of being institutionalized
In: Psychology
The demand for a replacement part is a random variable having a Poisson probability distribution with a mean of 4.7. If there are 6 replacement parts in stock, what is the probability of a stock-out (i.e., demand exceeding quantity on hand)?
In: Statistics and Probability
You toss a pair of fair six-sided dice 30 times. What is...
The probability that none of the 30 throws give a total of 12?
The probability that a total of 7 appears 5 or more times?
In: Math
Suppose a road is flooded with probability p = 0.10 during a year and not more than one flood occurs during a year.
What is the probability that it will be flooded at most twice during a 10-year period?
In: Math
Let X be the height of a student to be randomly selected at the University. Assume (for the purpose of modeling) that X has the normal distribution with a mean of 68 inches and a standard deviation of 4.9 inches.
a.) What is the probability a randomly selected student is shorter than 65 inches?
b.) What is the probability a randomly selected student is taller than 73 inches?
c.) What is the probability a randomly selected student's height falls within one standard deviation of the mean?
In: Statistics and Probability
Let X be the height of a student to be randomly selected at the University. Assume (for the purpose of modeling) that X has the normal distribution with a mean of 68 inches and a standard deviation of 4.9 inches.
a.) What is the probability a randomly selected student is shorter than 65 inches?
b.) What is the probability a randomly selected student is taller than 73 inches?
c.) What is the probability a randomly selected student's height falls within one standard deviation of the mean?
In: Statistics and Probability
A pinochle deck consists of two copies each of the 9, 10, J, Q, K and A cards of all 4 suits, for a total of 48 cards. You draw 5 cards at random from a pinochle deck
a. what is the probability of drawing a flush ( all 5 cards are the same suit)?
b. What is the probability of drawing a full house ( 3 cards of one value, 2 cards of a different value)?
(Use combinational probability) nCn
In: Statistics and Probability
Records at a particular hospital show that 11 percent of patients are admitted for surgery, 14 percent for obstetrics, and 1.9 percent for both surgery and obstetrics. Suppose that a patient admission record is selected at random. (Enter answers below as decimals.)
(a) The probability that the selected patient admission record was not for surgery is .
(b) The probability that the selected patient admission record was for surgery or obstetrics (or both) is .
(c) If the selected patient admission record was for surgery, what is the probability that it was also for obstetrics? .
In: Statistics and Probability
A fair coin will be tossed three times.
(a) Indicating a head by H and a tail by T write down the outcome space.
(b) What is the probability that on the first toss the outcome with a tail?
(c) What is the probability of obtaining exactly two heads from the three coin tosses?
(d) What is the probability that the first toss gives a tail and exactly two heads are obtained from the three coin tosses? Are the outcomes from parts (b) and (c) independent.
In: Economics