Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 5.3; σ = 1.8 P(7 ≤ x ≤ 9) =
Solution :
Given that ,
mean = = 5.3
standard deviation = = 1.8
P(7 ≤ x ≤ 9) = =P[(7 - 5.3) /1.8 < (x - ) / < (9 - 5.3) /1.8 )]
= P( 0.94< Z < 2.06)
= P(Z <2.06 ) - P(Z <0.94 )
Using z table,
= 0.9803 - 0.8264
=0.1539
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 8; σ = 2 P(7 ≤ x ≤ 11) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6.0; σ = 1.4 P(7 ≤ x ≤ 9) = Assume that x has a normal...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) H = 48; 0 = 16 P(40 sxs 47) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) u = 14.6; 0 = 3.3 P(8 SX s 12) = Assume that x has a normal distribution with the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) μ = 6; σ = 2 P(5 ≤ x ≤ 9) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 114; σ = 17 P(x ≥ 90) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 103; σ = 14 P(x ≥ 120) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 2.9; σ = 0.35 P(x ≥ 2) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 102; σ = 10 P(x ≥ 120)
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 109; σ = 14 P(x ≥ 120) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 24; σ = 4.2 P(x ≥ 30) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 18; σ = 3.4 P(x ≥ 30) =