Statistics and Probability Answers

When playing roulette you have 18 chances out of 38 of winning if you bet that the outcome is an odd number. What is the probability value of winning between 0 and 1

The Geometric Mean of 10 items of a series was 16,2
It was later found out that one of the items was wrongly taken as 12.9 instead of 21.9
Calculate correct GM?
kindly solve this riddle

question : Suppose that three missiles are available to fire at three targets, called Target 1, Target 2, and Target 3.Each time a missile is fired at Target 1 it will hit it with probability 0.9. Each time a missile is fired at Target 2 it will hit it with probability 0.8. Each time a missile is fired at Target 3 it will hit it with probability 0.7. Missiles will be fired, one at a time, at Target 1 until it is hit. If Target 1 is hit, any remaining missiles will be fired at Target 2 until it is hit, and if Target 2 is hit before the last of the three missiles is fired, the last missile will be fired at Target 3. Letting H1 be the event that the first missile fired hits a target, and H2 be the event that the second missile fired hits a target, explain why H1 and H2 are not independent events.

I am going to play a card game. I get 5 chances to draw an Ace from a 52 card deck. Each time I draw, I do not place the drawn card back into the deck. The game is over when either I draw an Ace, or I have drawn 5 cards without drawing an Ace. It costs me $1 to play. If I draw the Ace of spades, I win $50, if I draw any other Ace I win $10. What is the probability I will draw an Ace (other than spades) and the probability I will draw the Ace of spades.

Find the standard deviation of the distribution 12,6,7,3,15,10,18,5

Actual lengths of pregnancy terms are normally about a mean pregnancy length of about 38 to 39 weeks with a standard deviation of 15 days. About what percentage of births would be expected within 1 month of the mean pregnancy length?

Genetic theory predicts that, in the second generation of a cross of sweet pea plants, blossoms will be either red or white, with each plant having a 3⁄4 chance of producing red blossoms. Blossom colours of separate plants are independent.
Let X be the number of plants with red blossoms out of 12 plants selected at random from the second generation of this cross.
(a) What is the probability distribution of X? [3]
(b) Calculate:
(i) the mean and standard deviation of X. [3] (ii) P(X>8) [2] (iii) P(7≤X≤11) [2]

On a tiny remote island where the death sentence still exists a man can be granted mercy after receiving the death sentence
He is given 18 red balls and 6 green balls
He must divide them between 3 boxes with at least one ball in each
He is blindfolded and must choose a box at random and then a single ball from within the box
He only receives mercy if a red ball is chosen
Find the probability that he recieves mercy when he distributes the balls in the most favourable mannor

The effectiveness of three diet plans was analyzed. Use a significant level 0.05 to test the claim that the mean weight loss among all diet plans is the same given the following ANOVA results.
F= 0.352
P-value= 0.878
F critical= 2.69
A) There is enough evidence to reject the null hypothesis.
B) There is not enough evidence to reject the null hypothesis
C) It cannot be determined
D) There is sufficient evidence to fail to reject the null hypothesis

What is the probability that z is greater than -1.82, given that z is a standard normal variable?