SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Binomial distribution

Grade: 9-a Lesson: S4-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	The random variable X has binomial distribution B(30,0.3). Determine P(X=11).?	A) 1.259 B) 0.1103 C) 0.2134 D) 0.1126
2	The random variable X has binomial distribution B(40,0.2). Determine P(8<X<14).?	A) 0.1247 B) 0.6785 C) 0.1258 D) 0.3875
3	A certain brand of sweets are sold in bags of 15. The typical proportion of orange sweets in these bags is 1 in 5. Find the probability that in a random bag of these sweets there will be exactly 5 orange sweets.?	A) 0.2199 B) 0.2052 C) 0.1032* D) 0.9368
4	A box contains 50 coloured drawing. The proportion of red drawing pins in these boxes is 3 out of 20. Find the mean and variance of the number of red drawing pins in these boxes.?	A) E(X)=7.5 Var(X)=6.375 B) E(X)=2.5 Var(X)=6.125 C) E(X)=4.5 Var(X)=5.231 D) E(X)=3.7 Var(X)=8.415
5	The probability of a carnation producing a pink flower is 0.35. Find the mean and variance of the number of pink flowers produced in 20 carnation blooms.?	A) E(X)=9 Var(X)=6.42 B) E(X)=8 Var(X)=5.25 C) E(X)=7 Var(X)=4.55 D) E(X)=2 Var(X)=1.04

Problem Id

Problem

Options

The random variable X has binomial distribution B(30,0.3). Determine P(X=11).?

A) 1.259
B) 0.1103
C) 0.2134
D) 0.1126

The random variable X has binomial distribution B(40,0.2). Determine P(8<X<14).?

A) 0.1247
B) 0.6785
C) 0.1258
D) 0.3875

A certain brand of sweets are sold in bags of 15. The typical proportion of orange sweets in these bags is 1 in 5. Find the probability that in a random bag of these sweets there will be exactly 5 orange sweets.?

A) 0.2199
B) 0.2052
C) 0.1032*
D) 0.9368

A box contains 50 coloured drawing. The proportion of red drawing pins in these boxes is 3 out of 20. Find the mean and variance of the number of red drawing pins in these boxes.?

A) E(X)=7.5 Var(X)=6.375
B) E(X)=2.5 Var(X)=6.125
C) E(X)=4.5 Var(X)=5.231
D) E(X)=3.7 Var(X)=8.415

The probability of a carnation producing a pink flower is 0.35. Find the mean and variance of the number of pink flowers produced in 20 carnation blooms.?

A) E(X)=9 Var(X)=6.42
B) E(X)=8 Var(X)=5.25
C) E(X)=7 Var(X)=4.55
D) E(X)=2 Var(X)=1.04