Advertisements
Advertisements
It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles, 9 are defective?
Concept: undefined >> undefined
A fair coin is tossed 8 times. Find the probability that it shows heads exactly 5 times.
Concept: undefined >> undefined
Advertisements
Find the vector equation of the lines which passes through the point with position vector `4hati - hatj +2hatk` and is in the direction of `-2hati + hatj + hatk`
Concept: undefined >> undefined
A fair coin is tossed 9 times. Find the probability that it shows head exactly 5 times.
Concept: undefined >> undefined
By computing the shortest distance determine whether the following pairs of lines intersect or not: \[\frac{x - 1}{2} = \frac{y + 1}{3} = z \text{ and } \frac{x + 1}{5} = \frac{y - 2}{1}; z = 2\]
Concept: undefined >> undefined
A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is `1/100`. What is the probability that he will win a prize at least once.
Concept: undefined >> undefined
A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is \[\frac{1}{100} .\] What is the probability that he will win a prize exactly once.
Concept: undefined >> undefined
A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is `1/100` What is the probability that he will win a prize at least twice.
Concept: undefined >> undefined
The equation of a line is 2x -2 = 3y +1 = 6z -2 find the direction ratios and also find the vector equation of the line.
Concept: undefined >> undefined
A person makes two types of gift items A and B requiring the services of a cutter and a finisher. Gift item A requires 4 hours of the cutter's time and 2 hours of finisher's time. Fifth item B requires 2 hours of the cutter's time and 4 hours of finisher's time. The cutter and finisher have 208 hours and 152 hours available time respectively every month. The profit on one gift item of type A is ₹ 75 and on one gift item of type, B is ₹ 125. Assuming that the person can sell all the gift items produced, determine how many gift items of each type should he make every month to obtain the best returns?
Concept: undefined >> undefined
Write the dual of the following.
p ∨ (q ∧ r)
Concept: undefined >> undefined
Write the dual of the following.
p ∧ (q ∧ r)
Concept: undefined >> undefined
Write the dual of the following.
(p ∨ q) ∧ (r ∨ s)
Concept: undefined >> undefined
Write the dual of the following.
p ∧ ∼ q
Concept: undefined >> undefined
Write the dual of the following.
(∼ p ∨ q) ∧ (∼ r ∧ s)
Concept: undefined >> undefined
Write the dual of the following.
∼ p ∧ (∼ q ∧ (p ∨ q) ∧ ∼ r)
Concept: undefined >> undefined
Write the dual of the following.
[∼ (p ∨ q)] ∧ [p ∨ ∼ (q ∧ ∼ s)]
Concept: undefined >> undefined
Write the dual of the following.
c ∨ {p ∧ (q ∨ r)}
Concept: undefined >> undefined
Write the dual of the following.
∼ p ∨ (q ∧ r) ∧ t
Concept: undefined >> undefined
Write the dual of the following.
(p ∨ q) ∨ c
Concept: undefined >> undefined
