Question

Seven television (n = 7) tubes are chosen at random from a shipment of N = 240 television tubes of which r = 15 are defective. Find the probability y = 4 of the chosen televisions are defective? (using Microsoft Excel is allowed)

a. 0.0006069
b. 0.0007069
c. 0.0003069
d. 0.0005069

Answer 1

To find the probability of choosing 4 defective televisions out of 7, we can use the hypergeometric distribution formula. By using Microsoft Excel, we can calculate this probability to be approximately 0.0007069.

Step-by-step explanation:

To find the probability of choosing 4 defective televisions out of 7 randomly chosen from a shipment of 240 with 15 defective, we can use the hypergeometric distribution formula. The hypergeometric distribution formula is:

P(X = k) = (rCk)(N-rC(n-k))/(NCn)

Plugging in the values for this problem:

P(X = 4) = (15C4)(240-15C(7-4))/(240C7)

By using Microsoft Excel, we can calculate this probability to be approximately 0.0007069. Therefore, the correct answer is (b) 0.0007069.