Quiz
Math 141-160
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Questions in this quiz (20)
1Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,5; by the second – 0,3; and by the third – 0,7. What is the probability that the exam will be passed on "excellent" by exactly two students?
- A0.464
- B0.395
- C0.12
- D0.192
- E0.48
2Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,3; by the second – 0,7; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by at least one student?
- A0.958
- B0.93
- C0.465
- D0.15
- E0.848
3Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,3; by the second – 0,7; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by neither of the students?
- A0.042
- B0.95
- C0.46
- D0.07
- E0.84
4A bag contains 4 white, 6 red and 10 black balls. Four balls are drawn one by one with replacement, what is the probability that at least one is white?
- A1-(1/4)^4
- B1-(4/5)^4
- C(1/5)^4
- D0.7182
- E(1/4)^4
5How would it change the expected value of a random variable X if we multiply the X by a number k.
- AM[kX] = k * M[X]
- BM[kX] = |k| * M[X]
- CM[kX] = M[X]
- DM[kX] = M[X] + k
- EM[kX] = k^2 * M[X]
6Which of the following expressions indicates the occurrence of exactly one of the events A, B, C?
- AA+B+C
- BA*B*C
- CA * B^c * C^c + A^c * B * C^c + A^c * B^c * C
- D(A+B+C)^c
- EAB+AC+BC
7There are 100 identical details (and 20 of them are painted) in a box. Find the probability that the first randomly taken detail will be painted.
- A1/20
- B1/5
- C1/2
- D1/10
- E1/9
8A die is tossed. Find the probability that an even number of aces will appear.
- A1/2
- B1
- C0
- D1/5
- E1/9
9Participants of a toss-up pull a ticket with numbers from 1 up to 30 from a box. Find the probability that the number of the first randomly taken ticket contains the digit 2.
- A1/30
- B1/3
- C1/2
- D2/5
- E1/5
10In a batch of 8 details the quality department has found out 3 non-standard details. What is the relative frequency of appearance of non-standard details equal to?
- A1/2
- B1
- C3/11
- D3/8
- E3/5
11Given a normal distribution with µ=90 and σ=10, what is the probability that X>75?
- A0.93
- B0.25
- C0.49
- D0.45
- E0.01
12For a continuous random variable X, the probability density function f(x) represents
- Athe probability at a fixed value of X
- Bthe area under the curve at X
- Cthe area under the curve to the right of X
- Dthe height of the function at X
- Ethe integral of the cumulative distribution function
13Two events each have probability 0.3 of occurring and are independent. The probability that neither occur is
- A0.49
- B0.51
- C0.3
- D0.6
- Enone of the given answers
14.
- A1/2
- B0.25
- C1/9
- D0.3
- EAny positive value greater than 2
15A continuous random variable X is uniformly distributed over the interval [15, 21]. The expected value of X is
- A16
- B18
- C10
- D3
- E6
16Four buyers went in a shop. The probability that each buyer makes purchases is equal to 0,5. Find the probability that three of them will make purchases.
- A0.25
- B0.096
- C0.95
- D0.125
- E0.712
17Three buyers went in a shop. The probability that each buyer makes purchases is equal to 0,8. Find the probability that two of them will make purchases.
- A0.384
- B0.7
- C0.189
- D0.96
- E0.904
18If D(X)=3, find D(-3X+4).
- A12
- B-5
- C19
- D27
- E-9
19If D(X)=3, find D(2X-3).
- A10
- B9
- C3
- D12
- E-9
20.
- AM[X]= 0,2; D(X) =0.8
- BM[X]= 0,3; D(X) =0.27
- CM[X]= 0,2; D(X) =0.76
- DM[X]= 0,2; D(X) =0.21
- EM[X]= 0,8; D(X) =0.24
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- Information Technology Quiz on Math 141-160, created by CSSE 1707K on 28/12/2019.
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- CSSE 1707K
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- English
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