Answer:
Step-by-step explanation:
Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean score
s = standard deviation
From the information given,
u = 70 points
s = 10.
We want to find the probability of students scored between 40 points and 100 points. It is expressed as
P(40 lesser than x lesser than or equal to 100)
For x = 40,
z = (40 - 70)/10 =-3.0
Looking at the normal distribution table, the corresponding z score is 0.0135
For x = 100,
z = (100 - 70)/10 =3.0
Looking at the normal distribution table, the corresponding z score is 0.99865
P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515
The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%
Answer:
The probability of rolling a 6 on the next toss = 1/6
Step-by-step explanation:
Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.
To find - What is the probability of rolling a 6 on the next toss?
Proof -
As the outcomes of previous rolls do not affect the outcomes of future rolls.
And there is one desired outcome and six possible outcomes.
So,
The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.
So,
The answer is -
The probability of rolling a 6 on the next toss = 1/6
Answer:
0.00375
Step-by-step explanation:
The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
