Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Answer:
A) x > 7
Step-by-step explanation:
Since it's more than, the inequality would be >
Since it's >, that means it's an open circle
So,
x > 7
A) the probability is 1 in 6 (1/6); there are six numbers and only one is 6, therefore 1 in 6
B) the probability is 5 in 6 (5/6); there are 6 numbers and only one is not 6, therefore 5 in 6
C) the probability of rolling a 6 is 1 in 6 and the probability of not rolling a 6 is 5 in 6
D) the probability is again 1 in 6 (1/6); 120 divided by 6 is 20, and 20/120 simplifies to 1/6
thats the best i can do to explain
