Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Answer:
y have 3K
xD
Step-by-step explanation:
This is all percentages so...
4/9 = 44%
2/7 = 29%
1/10 = 10%
Total = 83%
So 17% of 630 is left over which = 107
Answer:
The correct option is A. 14%
Step-by-step explanation:
There is a 70% chance of rain tomorrow
⇒ The probability that it will rain tomorrow = 0.7
There is a 20% chance that the volleyball game will be postponed
⇒ The probability that the volleyball game will be postponed = 0.2
Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%
Thus, the correct option is A. 14%