Course home

3.2 Finding Probabilities for Normal Distributions

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52

Question 21

The tensile strength, $S$ Newtons (N), of a particular type of fiber-optic cable is modeled by a normal distribution with a mean of 120 N and a standard deviation of 15 N.

Determine the probability that a randomly selected cable has a tensile strength less than 147 N.

[2]

Find the value of $k$ such that $P (S < k) = 0.1056$ .

[3]

Find the value of $m$ such that $P (S > m) = 0.1056$ .

[2]

Calculate $P (k < S < m)$ .

[2]

Markscheme

3.2 Finding Probabilities for Normal Distributions Questions

A Level
Maths
3.2 Finding Probabilities for Normal Distributions

80 exam-style questions on Edexcel A Level Maths 3.2 Finding Probabilities for Normal Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

3.2 Finding Probabilities for Normal Distributions

Question bank

3.2 Finding Probabilities for Normal Distributions

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52

Question 21

The tensile strength, $S$ Newtons (N), of a particular type of fiber-optic cable is modeled by a normal distribution with a mean of 120 N and a standard deviation of 15 N.

Determine the probability that a randomly selected cable has a tensile strength less than 147 N.

[2]

Find the value of $k$ such that $P (S < k) = 0.1056$ .

[3]

Find the value of $m$ such that $P (S > m) = 0.1056$ .

[2]

Calculate $P (k < S < m)$ .

[2]

Markscheme

3.2 Finding Probabilities for Normal Distributions Questions

A Level
Maths
3.2 Finding Probabilities for Normal Distributions

80 exam-style questions on Edexcel A Level Maths 3.2 Finding Probabilities for Normal Distributions. Each one has a worked solution and a mark scheme showing where the marks go.