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Collect the information given:kindly help with part 1 of this question.
probability that children jump higher than 127 cm is 8/10 = 0.8
probability that children jump higher than 135 cm is 1/3= 0.333
Applying normal distribution as usual:
for 127 cm:
P (X> 127) = 1 - ϕ (127-μ) /σ
0.8 = 1 - ϕ (127-μ) /σ
for 135 cm:
P (X> 135) = 1 - ϕ (135-μ) /σ
0.333 = 1 - ϕ (135-μ) /σ
When you solve these two you end up with two equations:
μ=127 + 0.842σ
and μ=135 - 0.431 σ
Solving these two simultaneously:
you'll get
σ= 6.28
and
μ=132