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# Probability Worksheets - Page 7

Probability Worksheets
• Page 7
61.
Find the probability of selecting a yellow ball from the glass container.

 a. 2 out of 8 b. 3 out of 8 c. 7 out of 8 d. 3 out of 5

Correct answer : (2)
62.
A box contains dimes and pennies. Identify the probability of selecting a penny from the box.

 a. 3 out of 9 b. 5 out of 9 c. 6 out of 9 d. 3 out of 6

Correct answer : (3)
63.
What is the probability of picking a square from the figure shown?

 a. $\frac{1}{13}$ b. $\frac{7}{13}$ c. $\frac{2}{13}$ d. $\frac{11}{13}$

Correct answer : (3)
64.
Find the probability of picking a banana from the bag containing seven apples, two guavas, and two bananas as shown.

 a. 1 out of 2 b. 2 out of 11 c. 2 out of 9 d. 1 out of 10

Correct answer : (2)
65.
What is the probability of picking a yellow colored shape?
 Color of shapes Number of shapes Blue 5 Yellow 4 Pink 5 Brown 7 Green 5 Orange 5

 a. $\frac{1}{4}$ b. $\frac{1}{3}$ c. $\frac{4}{27}$ d. $\frac{4}{31}$

Correct answer : (4)
66.
When can the normal distribution be used as an approximation to the binomial distribution?
 a. $n$.$p$ = 5, $n$.$q$ = 5 b. $n$.$p$ ≤ 5, $n$.$q$ ≤ 5 c. $n$.$p$ > 5, $n$.$q$ < 5 d. $n$.$p$ ≥ 5, $n$.$q$ ≥ 5

#### Solution:

The normal distribution can be used as an approximation to the binomial distribution only when n.p and n.q are both greater than or equal to 5.
So, n.p ≥ 5 and n.q ≥ 5.

Correct answer : (4)
67.
Say whether the normal distribution can be used as an approximation to the binomial distribution shown here.
$n$ = 30 and $p$ = 0.5
 a. cannot be determined b. true c. false

#### Solution:

A binomial distribution can be approximated by the normal distribution if n.p ≥ 5 and n.q ≥ 5.

Given, n = 30 and p = 0.5

q = 1 - p = 0.5

n.p = 30 × 0.5 = 15 > 5

n.q = 30 × 0.5 = 15 > 5

We see that both n.p and n.q are ≥ 5. So, the normal distribution can be used as an approximation to the binomial distribution.

Correct answer : (2)
68.
Say whether the normal distribution can be used as an approximation to the binomial distribution shown here.
$n$ = 20 and $p$ = 0.8
 a. false b. true c. cannot be determined.

#### Solution:

A binomial distribution can be approximated by the normal distribution if n.p ≥ 5 and n.q ≥ 5.

Given, n = 20 and p = 0.8

q = 1 - p = 0.2

n.p = 20 × 0.8 = 16 > 5

n.q = 20 × 0.2 = 4 < 5

We see that n.p > 5 but n.q < 5. So, the normal distribution should not be used as an approximation to the binomial distribution.

Correct answer : (1)
69.
Which one of these is impossible to be picked from the box shown?

 a. circle b. rectangle c. square d. triangle

Correct answer : (2)
70.
Which one of these is impossible to be picked from the set shown?