Can someone please answer this before Friday?
A number is chosen at random from {1, 2, . . . , 101}. Find the
probability that the number is divisible by
(a) 2
(b) 3
(c) either 2 or 3 (use inclusion-exclusion formula).
Can someone please answer this before Friday? A number is chosen at random from {1, 2,...
Can someone please answer this by Friday? A poker deck consists of cards ranked 2; 3; 4; 5; 6; 7; 8; 9; 10; J; Q;K;A (13 different ranks), each in four suits, for a total of 52 distinct cards. (a) What is the probability that a five-card poker hand drawn from a poker deck consists only of cards ranked 8; 9; 10; J; Q;K;A? (b) Find a probability of Three of a kind. This is, three cards of the same...
In a certain population, one out of 25 people are color blind, on average. (a) If a random sample of 30 people is chosen, what is the probability that there is at least one color blind person? Hint: Find the probability that none of the 30 people is color blind. (b) Use the inclusion-exclusion formula to find the probability that in a random sample of two people (i.e., the people are independently chosen), at least one of the two is...
Please answer the question thoroughly. Exercise 4.10. A number is chosen uniformly from the interval [0, 1). The random variable X outputs -2 if the chosen number falls in the interval [0, 1/4). It outputs 1 if the chosen number falls in the interval [1/2,2/3). Otherwise, the random variable iply outputs the chosen number. Find the distribution function Fx associated to X, find its discrete and continuous parts, Fxd and Fxe, and draw their graphs. Exercise 4.10. A number is...
2. Suppose an integer is chosen at random from the set S of the first 2510 positive integers that is, from the set S- [1,2,3,...,2510). Let A be the event that the number chosen is a multiple of 47. Let B be the event that the number chosen is a multiple of 23. (a) Determine with reason whether the events A and B are mutually exclusive. (b) Determine with reason whether the events A and B are independent (c) Determine...
1. Suppose that ten passengers are boarding seven buses at random (a) Treating the passe ngers as indistinguishable, find the probability that there is at least one passenger in each bus (b) Treating the passengers as distinguishable, find the probability that there is at least one passenger in Hint: Use the inclusion-exclusion rule. buses number 1, 2 and 3
Problem 1 (35 points): Two numbers are chosen at random and simultaneously from among the numbers 1 to 4 without replacement. Let A,产(1,2,3,41, be the event that the first number is . 1. Find the probability of the event B that the second number chosen is 3. 2. What is the probability that the first number is 1 given that the second number is 3?
8) A number is selected at random from (1,2,.. , 100). Given that the number selected is divisible by 2, find the probability that it is divisible by 3 or 5.
Can someone please answer these three questions ASAP? 1) A biased coin with probability of heads p, is tossed n times. Let X and Y be the total number of heads and tails, respectively. What is the correlation ρ(X, Y )? 2) Choose a point at random from the unit square [0, 1] × [0, 1]. We also choose the second random point, independent of the first, uniformly on the line segment between (0, 0) and (1, 0). The random...
Suppose a number is chosen at random from the set (0,1,2,3,.,560). What is the probability that the number is a perfect cube? The probability of choosing a perfect cube is ( Note: Your answer must be a fraction or a decimal number. Points possible: 1 Preview License This is attempt 1 of 3.
please, can someone help me with this problem, Thank you. The number of years a washing machine functions is a random variable with hazard rate 0t2 h(t) 2st<5 t25 0.2+0.3(t-2) 1.1 () Find the probability P(X > 6) [10 (ii) If it is working 6 years, what is the conditional probability that it will fail within the next two years [101