24) Agent RB, a notorious FBI Agent in charge of the Fringe Division, has discovered that in a small town in the south, 8% of all truck drivers experienced a 30 minutes blackout while driving through Hwy 51. To investigate this unexplained phenomenon, he has randomly selected 10 drivers. Construct the Probability Table using the Binomial formula and find the probability that in his random selection,
a) 3 or more drivers experienced blackouts. P(X ≥ 3)
b) at most 5 drivers experienced blackouts. P(X ≤ 5)
c) non-experienced blackouts. P(X = 0)
25) A survey showed that 40% of Los Angeles City College students own an iPhone. If ten students are randomly selected and surveyed, what is the probability that
a) at most two will have an iPhone.
b) at least 8 will have an iPhone.
c) exactly one will have an iPhone.
26) A coin 14 times. Let the random variable X represent the number of Tails. What is the probability of getting
a) at most 2 tails in 14 tosses?
b) at least 8 tails in 14 tosses?
c) exactly 1 tail in 14 tosses?
27) A multiple-choice test has 10 questions each with 4 possible answers, only one of which is correct. If Roz, who forgot to study for the test, guesses on all the questions on the test, what would be the probability that she will answer
a) exactly 6 questions correctly.
b) at least 4 questions correctly.
c) at most 3 questions correctly.
28) Based on global statistics, as of today (July 17, 2020), out of 13.9 million people infected with the Corona Virus, 7.8 million have recovered. Given a random sample of 20 people, use the binomial formula to construct the probability table for X (number of recovered cases), and use the information from the table to find the following probabilities. Hint: You must find P and Q first!
a) exactly 12 recover.
b) at least 12 recover.
c) at most 15 recover.
29) The probability that a flight will be delayed is 14%. In 15 randomly selected flights, find the probability that
a) six of them are delayed
b) at least 7 of them are delayed
c) at most 4 are delayed
d) more than 8 of them are delayed.