Math Answers

The probabilities of a machine manufacturing 0,1,2,3,4,5 defective parts ln one day are 0.50, 0.22,0.19, 0.025, 0.06 and 0.005 respectively. Find the mean of the probability distribution

Determine whether if

lim f(c) = f(c)

x→c

1. f(x) = x+2; c = -1

2. f(x) = x-2; c = 0

3. (at c = -1 )

f(x) = {x ² - 1 if x < -1}

f(x) = { (x - 1) ² - 4 if x ≥ -1}

4. (at c = 1 )

f(x) = {x³ - 1 if x < 1}

f(x) = { x² + 4 if x ≥ 1}

Determine whether if lim f(c) = f(c)

x→c

1. f(x) = x+2; c = -1

2. f(x) = x-2; c = 0

3. (at c = -1 )

f(x) = {x ² - 1 if x < -1}

f(x) = { (x - 1) ² - 4 if x ≥ -1}

4. (at c = 1 )

f(x) = {x³ - 1 if x < 1}

f(x) = { x² + 4 if x ≥ 1}

1. How do you describe a discrete random variable? Give examples.

2. How do you describe a continuous random variable? Give examples.

3. What are the properties of a probability distribution?

Find the mean of the probability distribution of the random variable X, which can take only the values 3,5, and 7, given that P(3)= 7/30, P(5)=1/3, and P(3)= 13/30.

I feel my adults with smart phones are randomly selected 64% use them in meetings or classes if five adults smart phone users are randomly selected find the probability that exactly 3 of them use their smart phones and meetings our classes

Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphone in meetings or classes.

A manufacturer of light bulbs produces bulbs that last a mean of 950 hours with a standard deviation of 120hours .what is the probability that the mean lifetime of a random sample of 10 of these bulbs is less than 900 hours

 A lottery will be conducted by the Grade 11 students of MNHS to help a fellow student who needs to undergo 

an operation. Out of four hundred tickets to be sold, only one ticket will win ₱2,000 and the rest will win nothing. 

If you will buy a ticket, calculate for your expected gain.

3. The amount of tea leaves in a can from a production line is normally distributed with μ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected. What is the probability that the sample mean will be between 100 and 120 grams?