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Norma-Jean [14]
2 years ago
8

1. 4 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of

each colour are numbered from 0 to 99. Five discs are selected at random, one at a time, with replacement. Find
(i) the probability that no orange discs are selected. [3]


(ii) the probability that exactly 2 discs with numbers ending in a 6 are selected. [4]


(iii) the probability that exactly 2 orange discs with numbers ending in a 6 are selected. [4]


(iv) the mean and variance of the number of pink discs selected. [8]


1. 5 The mean number of defective batteries in packs of 20 is 1. 6. Use a binomial distribution to calculate the probability that a randomly chosen pack of 20 will have more than 2 defective batteries
Mathematics
1 answer:
I am Lyosha [343]2 years ago
6 0

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

<h3>How to calculate probability?</h3>

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

Learn more about probability on:

brainly.com/question/24756209

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AleksAgata [21]
3 + 3/4x > = 15
3/4x > = 15 - 3
3/4x > = 12
x > = 12 / (3/4)
x > = 12 * 4/3
x > = 48/3 = 16 sessions <==
================
-p - 4p >  -10
-5p > -10
p < -10/-5
p < 2 <===
===============
-3 - 6(4x + 6) > = 9
-3 - 24x - 36 > = 9
-24x - 39 > = 9
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x < = -48/24
x < = -2 <===
=================
2x - 2 > = 10
2x > = 10 + 2
2x > = 12
x > = 12/2
x > = 6........so ur solution set is {6,7}

8 0
3 years ago
What is the value of y for the line that had a slope of -3/2 and passes through the points (3,5) and (7,y)?
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7 0
3 years ago
Which Function rule describes the pattern in the table? x:-2,-1,0,1,2 / y:14,11,8,5,2 A) y=3x+8 B) y= -3x-8 C) y=3x-8 D) y=-3x+8
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6 0
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Triangle has sides that measure 33 cm, 65 cm, and 56 cm. Is it a right triangle? Explain
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3 0
3 years ago
Solve h(x) = 5 - 9x Find h(8)
Alex_Xolod [135]

h(x) = 5 - 9x

h(8) = 5 - 9×8 ( putting value x = 8)

h(8) = 5 - 72

h(8) = -67

Answer is -67.

4 0
3 years ago
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