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1- Assume that random guesses are made for eight multiple choice...

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1- Assume that random guesses are made for eight multiple choice...

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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