1- Assume that random guesses are made for eight multiple choice questions on an SATtest, 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 randomlyselected, 38% use them in meetings or classes. If 5 adult smartphone users are randomlyselected, 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 randomlyselected, 43% use them in meetings or classes. If 5 adult smartphone users are randomlyselected, 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 randomlyselected, 52% use them in meetings or classes. If 11 adult smartphone users are randomlyselected, 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 randomlyselected, find the probability that nomorethan 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesightcorrection? The probability that nomorethan 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 thatdoesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 5% rate ofdefects, what is the probability that this whole shipment will beaccepted? Will almost all such shipments beaccepted, or will many berejected? The probability that this whole shipment will be accepted is