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1- Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n=8 trials, each with probability of success (correct) given by p=0.35. Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is fewer than 4.

2- Assume that when adults with smartphones are randomly selected, 38% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. Find the probability

3- Assume that when adults with smartphones are randomly selected, 43% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that at least 2 of them use their smartphones in meetings or classes. Find The probality

4- Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 11 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes. Find the probability

5-A survey showed that 75% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 15 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 15 adults require eyesight correction is

6- A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 37 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is

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