What is the probability that a poker hand (5 cards) be ‘three of a kind’? This means that there are exactly three cards of the same face value (2,3,4,5,6,7,8,9,10,J,Q,K, or A), and two other cards with different face values.
In: Statistics and Probability
If a pair of dice is tossed six times what is the probability of getting a total 9 ?
how to solve this on excel?
In: Statistics and Probability
The velocity of a particle in a gas is a random variable
X with probability distribution
fX (x) =
32 x2 e−4x ,
x>0. The kinetic energy of the particle is (1/2)
mX 2. Suppose that the mass of the particle is
64 yg. Find the probability distribution of Y. (Do not
convert any units.) Please explain steps. I do not understand how
to solve this kind of question. Thank you! :)
In: Statistics and Probability
A student is taking an exam. Suppose that the probability that the student finishes the exam in less than x hours is x/2 for x∈[0,2]. Show that the conditional probability that the student does not finish the exam in one hour given that they are still working after 45 minutes is 0.8.
In: Statistics and Probability
Find the probability that the disposable income of a resident is more than $ 45,000 is this an unusual event? Explain
In: Statistics and Probability
In: Statistics and Probability
Suppose that the probability that a passenger will miss a flight is
0.0912
Airlines do not like flights with emptyseats, 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
53
passengers.(a) If
55
tickets are sold, what is the probability that
54
or
55
passengers show up for the flight resulting in an overbooked flight?(b) Suppose that
59
tickets are sold. What is the probability that a passenger will have to be "bumped"?(c) For a plane with seating capacity of
52
passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below
10%
In: Statistics and Probability
If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball? Please explain.
In: Statistics and Probability
5. Assume that the probability that a person is infected with COVID is 0.02 in your area. If you randomly select people off the street,
(a) what is the probability that the first person to test positive is the seventh person tested?
(b) How many people would you have test before you discover your first person to test positive?
(c) If you alow plus or minus one standard deviation, what is the range you might expect the first person to test positive? (Note: For all questions, assume the test is 100 percent accurate!)
In: Statistics and Probability
The probability that a part produced by a certain factory's assembly line will be defective is 0.036. Find the probabilities that in a run of 44 items, the following results are obtained.
(a) Exactly 3 defective items
(b) No defective items
(c) At least 1 defective item
(Round to four decimal places as needed.)
In: Statistics and Probability