Which of the following is not always true?
, if a and b are perpendicular to each other
, if a and b are perpendicular to each other
, if a is parallel to b
The area of the region bounded by the curve , its tangent at (1, 1) and X-axis, is
sq units
sq units
If 5 distinct balls are placed at random into 5 cells, then the probability that exactly one cell remains empty, is
48/125
12/125
8/125
1/125
A survey of people in a given region showed that 20% were smokers. The probability of death due to lung cancer, given that a person smoked, "was 10 times the probability of death due to lung cancer, given that a person did not smoke. If the probability of death due to lung cancer in the region is 0.006. What is the probability of death due to lung cancer given that a person is a smoker?
1/140
1/70
3/140
1/10
C.
3/140
Let S = Event that person is smoker
NS = Event that person is non-smoker
D = Event that death is due to lung cancer.
Now, probability of death due to cancer that a person is a smoker,
Suppose a machine produces metal parts that contain some defective parts with probability 0.05. How many parts should be produced in order that the probability of atleast one part being defective is 1/2 or more? (Given that, log10 95 = 1.977 and log102 = 0.3)
11
12
15
14