First, multiple-choice questions: CACDBCD, DCCABA
II. Fill in the blanks: 13, 65 14,143, 24 15, 24 16, x & gt35.
Third, answer questions:
17.
18, solution: If one basic event is represented, then two dice rolls contain 36 basic events:,,,,,,,, * *.
(1) If the event ""is used, the result is, ***3 basic events.
∴ .
Answer: The probability of an event is.
(2) If the event ""is used, the result is 8 basic events:,,,,, * *.
∴ .
Answer: The probability of an event is.
19, solution: (1)-55, (2) omitted.
20. Solution: The area of the whole square plate, that is, the total area occupied by basic events, is.
We take "falling into the great circle" as event A, "falling into the circle formed by the small circle and the middle circle" as event B, and "jumping out of the great circle" as event C, so the area occupied by event A is:
Starting from the probability formula of geometric probability,
get( 1); (2) ; (3)
2 1, solution: (1)
(2) As we all know:
therefore
So, the linear regression equation is:.
(3) Can be obtained from item (2), where applicable, (ten thousand yuan)
That is, when it is expected to be used for 10 year, the maintenance cost is 123800 yuan.
22. Solution:
(1) Let a = "The two balls taken out are of the same color" and b = "The two balls taken out are of different colors".
Then the probability of event A is: p (a) = =
Since event A and event B are opposite events, the probability of event B is: p (b) = 1-p (a) = 1-=.
(2) Steps of random simulation:
Step 1: Generate 1 ~ 3 and 2 ~ 4 groups of random numbers with integer values by lottery or computer (calculator), with n random numbers in each group. Use 1 to get the red ball, 2 to get the black ball, 3 to get the white ball and 4 to get the yellow ball.
Step 2: Count the logarithm n of two groups of corresponding n pairs of random numbers, where two numbers in each pair are different.
Step 3: Calculate the value. This is an approximation of the probability that the two balls are different in color.