Suppose that X has the normal distribution for which the mean is 1 and the variance is 4. Find the value of each of the following probabilities: a. Pr(X ≤ 3)
b. Pr(X > 1.5)
c. Pr(X = 1)
d. Pr(25)
e. Pr(X ≥ 0)
f. Pr(−10.5)
g. Pr(|X| ≤ 2)
h. Pr(1≤−2X + 3 ≤ 8)

Find the solution of system of equation y= x-4 y=4x+2

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

David leaves his house to go to school. he walks 200 meters west and 300 meters north. how far is david from his original starting point?