You are planning an outdoor product launch weekend (Saturday and Sunday) February next year. From weather data you estimate that any given day has probability 0.5 of being rainy and probability 0.5 to have no rain. When considering 2 consecutive days, the probability that the 2 day will have the same weather (rain or no rain) as the previous day is 0.8.Define the following 3 random variables for the product launch weekendX_1 Is equal to 0 if it does not rain on Saturday, and equal to 1 if it rains on the Saturday.X_2 Is equal to 0 if it does not rain on Sunday, and equal to 1 if it rains on the Sunday.Y Is the number of days of rain during the product launch weekend (out of 2), so Y=X_1 + X_2. 2.iWhat is the expected number of days of rain during the product launch weekend? (2 decimal precision.) a) 0.00 b) 0.25 c) 0.50 d) 0.80 e) 1.00 f) 2.00 g) Other _____ 2.iiWhat is the standard deviation of the number of days of rain during the product launch weekend? (2 decimal precision.) a) 0.00 b) 0.25 c) 0.50 d) 0.71 e) 0.80 f) 0.89 g) Other _____ 2.iiiWhat is correlation between X_1 and X_2? (2 decimal precision.) a) 0.00 b) 0.0.15 c) 0.25 d) 0.40 e) 0.50 f) 0.60 g) Other _____
You are planning an outdoor product launch weekend (Saturday and Sunday) February next year. From weather data you estimate that any given day has probability 0.5 of being rainy and probability 0.5 to have no rain. When considering 2 consecutive days, the probability that the 2 day will have the same weather (rain or no rain) as the previous day is 0.8.
Define the following 3 random variables for the product launch weekend
X_1 Is equal to 0 if it does not rain on Saturday, and equal to 1 if it rains on the Saturday.
X_2 Is equal to 0 if it does not rain on Sunday, and equal to 1 if it rains on the Sunday.
Y Is the number of days of rain during the product launch weekend (out of 2), so Y=X_1 + X_2.
2.i
What is the expected number of days of rain during the product launch weekend? (2 decimal precision.)
a) 0.00
b) 0.25
c) 0.50
d) 0.80
e) 1.00
f) 2.00
g) Other _____
2.ii
What is the standard deviation of the number of days of rain during the product launch weekend? (2 decimal precision.)
a) 0.00
b) 0.25
c) 0.50
d) 0.71
e) 0.80
f) 0.89
g) Other _____
2.iii
What is
a) 0.00
b) 0.0.15
c) 0.25
d) 0.40
e) 0.50
f) 0.60
g) Other _____
Step by step
Solved in 2 steps with 5 images
