A box contains 15 balls (4 Yellow, 5 Purple and 6 Blue). Suppose 3 balls are dra

Question

A box contains 15 balls (4 Yellow, 5 Purple and 6 Blue). Suppose 3 balls are drawn at random

(a) with replacement. Calculate P(all 3 balls are of the same colour). A. 0.12
B. 0.073
C. 0.163

D. 4.495×10?5
E. 9.95×10?5
(b) without replacement. Calculate P(all 3 balls are of different colours). A. 0.044
B. 0.132
C. 0.264
D. 0.036
E. 0.075

3. An insurance company provides insurance to three groups of staff with the following characteristics:

Age Below 30 30 to 50 Above 50

Number of individuals

20
50
30
= 100

Probability of making a claim (in a year)

0.02
0.04
0.06

Expected amount per claim (in a year)

$500
$1000
$1500

Age Below 30 30 to 50 Above 50

Number of individuals 20
50
30
= 100

Probability of making a claim (in a year) 0.02
0.04
0.06

Expected amount per claim (in a year) $500
$1000
$1500

(b) What is the probability that a randomly selected individual will not make any claim in a year?

A. 0.88
B. 0.884
C. 0.958
D. 0.96
E. 0.999952

please show all your steps

Explanation / Answer

Solution

(a) P(3 balls are of same colour - with replacment) = 4/153 + 5/153+ 6/153 = 0.12 option a

b) P(3 balls are of same colour - without replacment) = 4/15 *3/14 * 2/13 + 5/15 * 4/14 * 3/13 + 6/15*5/14 *4/13 = 0.075 option e

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.