2 tens 1 one x 10 unit form
1 answer:
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Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 2.5<X<3.5 is equal to the blue area under the curve.
Step 2:
Since μ=3 and σ=0.25 we have:
P ( 2.5 < X < 3.5 ) =P ( 2.5−3 < X−μ < 3.5−3 )
⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)
Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:
P ( 2.5<X<3.5 )=P ( −2<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( −2<Z<2 )=0.9544
Percent of red lights last between 2.5 and 3.5 minutes is % .
Answer:
a) 0.954
b) 0.937
c) 0.891
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6 percent
Standard Deviation, σ = 1.3 percent
We are given that the distribution of particular interest rate is a bell shaped distribution that is a normal distribution.
Formula:
a) P(At least 3.8 percent.)
Calculation the value from standard normal z table, we have,
b) P(At most 8 percent)
Calculating the value from the standard normal table we have,
c) P(Between 3.8 percent and 8 percent. )