question1: Eight people each toss a fair coin five times. Determine the probability that at least one of these people obtains five heads
a) .178 b) .224 c) .288 d) .361 e) .403
question2: A fair coin is tossed 5 times. Determine the probability that a “run” of 3 or more heads occurs. note: HTHHH & HHHHT have runs of 3 & 4 heads.
a) 1/8 b) 3/16 c) 5/16 d) 1/4 e) 5/8
question3: The symbols $ $ $ @ @ & & & & are
permuted randomly. Determine the probability that the specific
arrangement $ @ & & $ @ & & $ occurs
a) 1/256 b) 1/1260 c) 1/820 d) 1/520 e) 1/2400
question4: A box of relays contains 15 that are good & 5
that are defective. 14 relays are chosen at random. Determine the
probability that exactly 4 of the unchosen relays are good.
a) .430 b) .352 c) .162 d) .278 e) .084
question1: Eight people each toss a fair coin five times. Determine the probability that at least...
TEAFM2 4.6.024 A fair coin is flipped four times. least three times? What is the probability that heads occurs exactly 3 times if it is known that heads occurs at
A fair coin is tossed eight times. Calculate (e) the probability of obtaining exaectly 4 heads (b) the probability of obtaining exactly 3 heads (c) the probability of obtaining 3, 4 or 5 heads.
13. A fair coin is tossed eight times. Calculate (a) (b) (c) the probability of obtaining exactly 4 heads; the probability of obtaining exactly 3 heads; the probability of obtaining 3, 4 or 5 heads.
11. What are the possible combination outcomes when you toss a fair coin three times? (6.25 points) H = Head, T = Tail a {HHH, TTT) Ob. (HHH, TTT, HTH, THT) c. {HHH, TTT, HTH, THT, HHT, TTH, THH) d. (HHH, TTT, HTH, THT, HHT, TTH, THH, HTT} e. None of these 12. What is the probability of you getting three heads straight for tossing a fair coin three times? (6.25 points) a. 1/2 OD. 1/4 C. 118 d. 1/16...
A fair coin with is tossed five times. Let A be the event that at least two heads appear; let B be the event that at most four heads appear; let C be the event that exactly 3 heads appear. Find the following probabilities: VII. 123 (a) P(A), P(B), and P(C) P(B|C), P(C|B), P(B|A) (b)
2. SUPPLEMENTAL QUESTION 1 (a) Toss a fair coin so that with probability pheads occurs and with probability p tails occurs. Let X be the number of heads and Y be the number of tails. Prove X and Y are dependent (b) Now, toss the same coin n times, where n is a random integer with Poisson distribution: n~Poisson(A) Let X be the random variable counting the number of heads, Y the random variable counting the number of tails. Prove...
question1: 2 men and 6 women are seated randomly about a round table. Determine the probability that the two men are NOT seated next to each other. a) .856 b) .824 c) .777 d) .750 e) .714 question2: Suppose that A, B & C are events. Which is/are true ? a) P(A) ≤ P(AUB) ≤ P(AB) b) P(AUC) ≥ P(AB) ≥ P(ABC) c) P(A) = P(AB' )P(AB) d) P(ABC) ≤ P(AB) ≤ P(A) e) P(A) = P(AB) + P(AB') question3:...
Coin Flips: If you flip a fair coin 5 times, what is the probability of each of the following? (please round all answers to 4 decimal places) a) getting all tails? b) getting all heads?
a. Suppose that a fair coin is tossed 15 times. If 10 heads are observed, determine an expression / equation for the probability that 7 heads occurred in the first 9 tosses. b. Now, generalize your result from part a. Now suppose that a fair coin is to be tossed n times. If x heads are observed in the n tosses, derive an expression for the probability that there were y heads observed in the first m tosses. Note the...
If a fair coin is tossed 5 times, what is the probability that we see exactly 3 heads? a. 0.5000 b. 0.3125 c. 0.8125 d. 0.1875