There are some coloured pins in a bag. The pins can be green, yellow, purple or grey.
A pin is going to be taken at random from the bag.
The table shows the probabilities of picking a purple or grey pin.
Colour Green Yellow Purple Grey
Probability
0.35 0.25
The probability of picking a green pin is three times the probability of picking a
yellow one.
a) Complete the table. (2)
There are 14 purple pins in the bag.
b) Work out how many green pins are in the bag.

Color : ___Green __yellow ___purple __ Grey

Prob : 0.30 ___0.10 0.35 ___ 0.25

4 pins

Step-by-step explanation:

Color : ___Green __yellow ___purple __ Grey

Prob : ___. 0.35 ___ 0.25

P(green) = 3 * P(yellow)

ΣP = 1

Let

P(yellow) = x

P(green) = 3x

Hence,

x + 3x + 0.35 + 0.25 = 1

4x + 0.60 = 1

4x = 1 - 0.60

4x = 0.40

x = 0.4 / 4

x = 0.1

Hence,

P(yellow) = 0.1

P(green) = 0.1 * 3 = 0.3

Color : ___Green __yellow ___purple __ Grey

Prob : 0.30 ___0.10 0.35 ___ 0.25

B)

If there are 14 pins in bag :

Number of green pins :

X * p(x)

14 * 0.3

= 4.2

= 4 pins

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: