Question

Use the normal distribution to approximate the desired probability.

Find the probability that in 242 tosses of a single 20-sided die, we will get at least 18 threes.

Round your answer to 4 places after the decimal point.

Question 2

For the binomial distribution with n = 24 and p = 0.64, is it appropriate to use the normal distribution as an approximation?

• a Normal approximation IS appropriate
• b Normal approximation is NOT appropriate
• c Not enough information is given to determine whether a normal approximation is appropriate

Answer 1

Solution) given Information. from the - 242 P=1120 0.05 Mean - lu - nap=242 0.05 - 12.1 Standard deviation (6) is so nypx (1-P) 242x0.05x (1-0.05) - 3.390427 this probability 1.7401 - P(x = 18) we have to use 2-score to find 2- x-u - 18 - 12.1 3.390427 - p/2 = 1.74) - 10.9590)

solution, (2) – from the given information. Binomial distribution is suitable to Неке, Nonnal approximation whennp >5 and ni-p) 5. n-24; p=0.64 np=24x0.64 = [15.36) n(1-P) = 2411-0.64) - [8.64) since both values are greater than 5, normal approximation is appropriate The correct Answer is option A. Normal approximation is approprate
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