Question

THE TABLE SHOWS THE SCORES OBTAINED WHEN A FAIR DIE WAS THROWN
A NUMBER OF TIMES
score 1 2 3 4 5 6
frequency 2 5 x 11 9 10
If the probability of obtaining a 3 is 0.26, find the Mean score

Answer 1

Answer:

hey mate here's ur answer

Step-by-step explanation:

Explanation

Score123456Frequency25x11910

P(3) = 0.26

x37+x=0.26x37+x=0.26

x=0.26(37+x)⟹x=9.62+0.26xx=0.26(37+x)⟹x=9.62+0.26x

x−0.26x=9.62⟹0.74x=9.62x−0.26x=9.62⟹0.74x=9.62

x=9.620.74=13x=9.620.74=13

Total toss frequency = 37 + x 

= 37 + 13

= 50.

(a) Median = n+12n+12

= 50+1250+12

= 25.5

From the table, 25.5 occurs at 4 which is the median.

(b) Standard deviation = ∑fd2∑f−−−−−√

REFER THE ATTACHMENT

Mean

(\frac{200}{50}

= 4

S.D = 10050−−−√10050

= 2–√2

= 1.4142

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