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Dafna11 [192]
2 years ago
13

The letters in the word STATISTICS are printed on identical index cards with one letter per card. The ten cards are

Mathematics
1 answer:
Alex17521 [72]2 years ago
3 0

Answer:

a.

Outcome ---------- Probability

S -------------------------- 0.3

T -------------------------- 0.3

A -------------------------- 0.1

I --------------------------- 0.2

S -------------------------- 0.1

b.

P(V) = 2/10

P(F) = 2/10

c.

Events V and F are not mutually exclusive

Step-by-step explanation:

Given

Text: STATISTICS

Solving (a): Outcomes and Probabilities

The text is made of the following makeup.

S = 3

T = 3

A = 1

I = 2

C = 1

Total = 10

The probability of each outcome is calculated by dividing the occurrence of each alphabet by the total number of alphabets

So:

S = 3/10 = 0.3

T = 3/10 = 0.3

A = 1/10 = 0.1

I = 2/10 = 0.2

C = 1/10 = 0.1

In tabular form, we have:

Outcome ---------- Probability

S -------------------------- 0.3

T -------------------------- 0.3

A -------------------------- 0.1

I --------------------------- 0.2

S -------------------------- 0.1

Solving (b)

V = Vowels

F = A - M

Calculating P(V)

P(V) = Number of vowels divided by total

The vowels are A and I.

So, number of vowels is 2

P(V) = 2/10

Calculating P(F)

P(F) = Number of alphabets from A to M divided by total

Alphabets from A and M are A and I

So, number of alphabets in this category is 2

So:

P(F) = 2/10

Solving (c):

Events V and F are not mutually exclusive because both can occur at the same time.

i.e.

An event can be a vowel and still be between A and M

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