A super, market has been selling discounted apples in bundles of five at their counters. A random sample of 49 bundles weighs 980 grams on average, with a standard deviation of 65 grams. Test the hypothesis that . = 1000 grams against the alternative hypothesis of > 1000 at 0.07 level of significance
In case of headache, 3 patients out of 5 take Panadol while 2 out 5 take another medication M. 75% of patients feel better knowing that they took Panadol. 90% feel better given they took the other medication
1. What is the probability of having no longer a headache? 2. What is the probability that a patient feels better given he took Panadol?
(a) If P(A) = 0.48, what is the value of P(not A)?
(b) If P(not A) = 0.75, what is the value of P(not A)?
(c) Is it possible that P(A) = 17/3?
(d) Is it possible that P(A) = 3/17?
(e) Does P(A) + P(not A) always equal 1?