A new drug has a probability of 0.7 of curing a disease. What is the probability

Question

A new drug has a probability of 0.7 of curing a disease. What is the probability that at least 8 of 10 patients suffering from the disease will be cured if they use the drug? Show your work. Given a normal distribution, answer each of the following by clearly showing your work. Mean = 50, standard deviation = 10. Find the probability that X assumes a value between 45 and 62. Mean = 300, standard deviation = 50. Find the probability that X assumes a value greater than Mean = 40, standard deviation = 6. Find the value of x that has 45% of the area to the left. Suppose John took an eight-item true false test in World History. If he answered each false at random, determine the following probabilities. In each case show your work probability that John answered exactly 50% of the questions correctly.

Explanation / Answer

Solution:- The probability that atleat 8 will be cured out of 10 is 0.3828.

Probability of curing a disease = p = 0.7

Total number of patients = n = 10

x = 8

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x > 8) = P(x = 8) + P(x = 9) + P(x = 10)

P(x > 8) = 0.2335 + 0.1211 + 0.02825

P(x > 8) = 0.3828

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