The age of a first grader on September 1 at Garden Elementary School is uniforml

Question

The age of a first grader on September 1 at Garden Elementary School is uniformly distributed from 5.8 to 6.8 years. We randomly select one first grader from the class.

Give the distribution of X.
X ~

  ,

Enter an exact number as an integer, fraction, or decimal.

Part (e)

Enter your answer to one decimal place.
=

Part (f)

Round your answer to two decimal places.
=

Part (g)

Find the probability that she is over 6 years old. (Enter your answer as a fraction.)

Part (h)

Find the probability that she is between four and six years old. (Enter your answer as a fraction.)

Part (i)

Find the 70th percentile for the age of first graders on September 1 at Garden Elementary School. (Enter your answer to one decimal place.)
years

Explanation / Answer

here it is uniform distribution

X~(5.8 ; 6.8)

Enter an exact number as an integer, fraction, or decimal.

f(x) =1/(6.8-5.8)=1 ; 5.8<=x<=6.8

e) mean =(a+b)/2 =(5.8+6.8)/2 =6.3

f) = (b-a)/121/2 =0.2887

g) probability that she is over 6 years old. =P(X>6)=(6.8-6)/(6.8-5.8)=0.8

h)probability that she is between four and six years old. =P(4<X<6)=(6-5.8)/(6.8-5.8)=0.2

i)70th percentile for the age of first graders on September 1 at Garden Elementary School=0.7+5.8=6.5

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.