The probability of event A is 55%. The probability of event B is 40%. The probability that A happens given that B has happened is 25%. What is the probability that both A and B happen? 95% 70% 65% 10% 15%
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- If the probability of an event is 62%, what is the probability of its complement?A math class has 25 students. Assuming that all of the students were born in the first half of the year – between January 1st and June 30th– what is the probability that at least two students have the same birthday? Assume that nobody was born on leap day, so there are 181 possible birthdays.Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.
- Based on a detailed medical examination, a doctor declares that the odds of a patient developing a certain disease are 2. From this it follows that the probability the patient will develop the disease is: O 1/4 O 1/2 3/4 O 1/3 2/3A group of 15 students made up of 9 females and 6 males form a committee of 5 What is the probability the committee is made up of 3 females and 2 males?If we are getting a probability of a certain event, which of the following are possible answers? A. 0.98 B. 0.65 C. -1/2 D. 100%
- Assume that, with probability 0.8, It’s going to snow and/or I’m going to stay at home; and with probability 0.7, when it snows, then I stay at home. What is the probability of being truth that I am going to stay at home?To check on an ambulance service’s claim that at least 40% of its calls arelife-threatening emergencies, a random sample was taken from its files, and it was foundthat only 49 of 150 calls were life-threatening emergencies. Can the null hypothesis p = 0.40be rejected against the alternative hypothesis p < 0.40 if the probability of a Type I erroris to be at most 0.01?Correct answer will be upvoted else Multiple Downvoted. Computer science. The j-th companion can be set before the I-th companion on the photograph if his square shape is lower and smaller than the square shape of the I-th companion. Officially, somewhere around one of the accompanying conditions should be satisfied: hj<hi and wj<wi (the two companions are standing or both are lying); wj<hi and hj<wi (one of the companions is standing and the other is lying). For instance, on the off chance that n=3, h=[3,5,3] and w=[4,4,3]: the main companion can be set before the second: w1<h2 and h1<w2 (one of the them is standing and the other one is lying); the third companion can be put before the second: h3<h2 and w3<w2 (the two companions are standing or both are lying). In different cases, the individual in the closer view will cover the individual behind the scenes. Help Polycarp for every I find any j, with the end goal that the j-th…
- 9. Prove the formula: e* ≥ 1 + x, Vx € R. 10. What is the probability that in a random group of 10 people at least two have the same birthday? Consider the experiment: Two fair die are cast and the sum of the spots shown on the uppermostThe random variable X and Y are independent. The random variable X has the probability distribution P(X=0) = 0.4 and P(X=1) = 0.6. The random variable Y has the probability %3D distribution P(Y=0) = 0.2 and P(Y=3) = 0.8. Fill the following Joint distribution table: Y P(X,Y) 3 1 1 Note: round your answer to decimal places.A fair coin is flipped 3 times. What is the probability that the flips follow the exact sequence below? Flip One: Heads Flip Two: Heads Flip Three: Tails ⅛ ⅜ ⅓ ⅔ ½