Directions: Use the binomial formula to compute the probabilities given the following values. Write your answers and complete solutions in any clean sheet of paper. Box/encircle your final answers. 1. п %3D 6, p = , P(X = 3) 2. п %3D 15, р %3 P(X = 8) 3. п %3D 9, p = 0.7, P(X = 5)

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Find the probability of throwing a sum of 8 at least 2 times 8 throws of a pair of fair 6-sided dice. Answer to the nearest 0.0001.

The probability of winning the "grand prize" at a fortune spinning wheel is p=0.2. If you spin the wheel 100 times how many grand prizes can you expect to win

Find the probability that z is greater than -1.72.

Suppose 10% of all redeemed coupons at a supermarket are for 50% off the item purchased. A simulation is used to model a coupon randomly selected and then recorded as 50% off or not 50% off. Which simulation best models the scenario? Place 40 equally sized pieces of paper in a hat. Of the 40, 4 read "50% off" and the rest read "not 50% off ". O Place 30 equally sized pieces of paper in a hat. Of the 30, 6 read "50% off" and the rest read "not 50% off ". O Place 80 equally sized pieces of paper in a hat. Of the 80, 10 read "50% off" and the rest read "not 50% off ". O Place 50 equally sized pieces of paper in a hat. Of the 50, 10 read "50% off" and the rest read "not 50% off ".

In a suitcase there are 5 orange, y green, (y+2) grey and 6 yellow pens. Probability of choosing one green pen from the given suitcase is 1/3. What is the sum of the number of green, grey and yellow pens?