Donald obtains a coin which is alleged to be biased so that the probability p that it falls head is 0.3 Donald wishes to test if indeed the coin is unbiased, and to do so by tossing the coin 100 times w the intention of not rejecting it as biased (as alleged) if he gets at most 37 heads.
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- Consider two visually identical coins, one fair (prob of heads = 1/2) and one loaded (prob of heads = 1/4). We pick one at random (each one has equal probability of being chosen) and toss the coin once. Given you see a heads, the (conditional) probability the coin is loaded isEvery cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 13 of the 58 boxes on the shelf have the secret decoder ring. The other 45 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring? (Give answer as a decimal correct to four decimal places.)O 12.67 O 12.90 O 14.81 QUESTION 9 You are given two boxes A and B such that box A contain 6 RED balls and 4 BLUE balls, while box B contains 5 RED balls and 7 BLUE balls. You are requested to toss a faie coin so that if the coin landed HEAD then a ball is drawn from box A, whereas if the coin landed TAIL then a ball is drawn from box B. If a RED ball was drawn, find the probability that the coin landed TAIL 14 59 36 59 O 25 61 Aur CTION LAN ick Save and Submit to save and submit. Click Save All Answers to save all answers. ASUS VivoBook FioR 14 E3 15
- Help me A to CEvery cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 16 of the 62 boxes on the shelf have the secret decoder ring. The other 46 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring? (Give answer as a decimal correct to four decimal places.) 0.5473 X1. In a red zone area from covid, it is known that there are 3 people who become Covid-19 Asymptomatic Persons (AP) out of every 8 people present. An officer randomly selects 3 people to be swab tested. If X is a variable that represents the number of peoplewho became AP,a. Find the number of possible x values of the variable X, and calculate the probability of each x value.b. Determine what is the probability that the officer will get at least 1 person who becomes the AP.
- 3. There are 220 female students at a particular şchool - of these. 68 play soccer, 50 play golf and 18 play both Draw and label a Venn diagrami (a) How many play golf, but not soccer? (b) How many do not play golf or soccer? (c) Find the probability that a female student plays golf OR soccer. O EXTD V D 10:17Suppose that in a group of 28 people, there are 5 who test positive for a virus. You take a random sample of two people from this group. a. The events "First person chosen has thelvirus" and "Second person chosen has the virus" are: O dependent O independent Find the probability (round to three decimals) that: b. Both people have the virus. C. Neither person has the virus. d. At least one of the two people has the virus. e. The first person chosen has the virus and the second does not. Submit QuestionShashank performs an experiment comprising a series of independent trials. On each trial, he simultaneously flips a set of Z fair coins. a. Given that Shashank has just had a trial with Z tails, what is the probability that next two trials will also have this result? b. Whenever all the Z coins land on the same side in any given trial, Shashank calls the trial a success. i. Find the PMF for K, the number of trials up to, but not including the second success.
- Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 19 of the 56 boxes on the shelf have the secret decoder ring. The other 37 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?(Give answer as a decimal correct to four decimal places.)Chose the correct answerNeed Parts D and E.