Math Answers

What is the probability that when a coin is flipped six times in a row, it lands heads up every time?

Given a normal distribution with μ = 180 and σ = 20, find

a. The area above 230

b. The area below 215

c. The area between 185 and 225

Prove that Sn is not solvable for n>4.

jester estimate that the probability that he will pass statistics and probability is 65%; the probability that he will pass basic calculus is 52%; and the probability of passing both subjects is 45%. find the probability that he will pass at least one of these two subjects

the mean score of random sample of 22 student applicants who took the college entrance examination is calculated to be 76.9 the population standard deviation is known to be 27.4 find the 99% confidence interval for the mean of the entire student applicants (hint: ESTIMATION OF PARAMETERS)

Suppose a box contains 20 red marbles, 12 blue

marbles, 8 green marbles, and 10 yellow marbles. If

you randomly select one marble from the box.

(a) what is the probability that you will have a red

marble?

(b) what is the probability that you will have a green

marble?

(c) what is the probability that you will have a red or

green marble?

(d) what is the probability that you will have a red and

yellow marble?

(e) what is the probability that you will have a red

marble with replacement?

(f) what is the probability that you will have a blue

marble without replacement?

(g) what is the probability that you will have a yellow

marble with replacement?

(h) what is the probability that you will have a green

marble with replacement?

Suppose a box contains 20 red marbles, 12 blue

marbles, 8 green marbles, and 10 yellow marbles. If

you randomly select one marble from the box.

(a) what is the probability that you will have a red

marble?

(b) what is the probability that you will have a green

marble?

(c) what is the probability that you will have a red or

green marble?

(d) what is the probability that you will have a red and

yellow marble?

(e) what is the probability that you will have a red

marble with replacement?

(f) what is the probability that you will have a blue

marble without replacement?

(g) what is the probability that you will have a yellow

marble with replacement?

(h) what is the probability that you will have a green

marble with replacement?

Given the recurrence relation 𝑎𝑛 =−2𝑎𝑛−1 +15𝑎𝑛−2 with the initial conditions 𝑎0=1 and 𝑎1=7.

(a) Write the characteristic equation.

(b) Solve the recurrence relation.

If you randomly select a card from a well-shuffled standard deck of 52 cards, the probability that the card you select is a 5 is

P(x): x²/2 = x

Find the following then identify their truth values.

1. P (1)
2. P (2)
3. An, P(n)
4. En, P(n)