Answer:
-11
Step-by-step explanation:
Answer:
a) P ( E | F ) = 0.54545
b) P ( E | F' ) = 0
Step-by-step explanation:
Given:
- 4 Coins are tossed
- Event E exactly 2 coins shows tail
- Event F at-least two coins show tail
Find:
- Find P ( E | F )
- Find P ( E | F prime )
Solution:
- The probability of head H and tail T = 0.5, and all events are independent
So,
P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT) = 6*(1/2)^4 = 0.375
P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)
= 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875
- The probabilities for each events are:
P ( E ) = 0.375
P ( F ) = 0.6875
- The Probability to get exactly two tails given that at-least 2 tails were achieved:
P ( E | F ) = P ( E & F ) / P ( F )
P ( E | F ) = 0.375 / 0.6875
P ( E | F ) = 0.54545
- The Probability to get exactly two tails given that less than 2 tails were achieved:
P ( E | F' ) = P ( E & F' ) / P ( F )
P ( E | F' ) = 0 / 0.6875
P ( E | F' ) = 0
The median of the data would be (20+25)/2, which is 45/2 = 22.5.
The first quartile (Q1), the middle number between the smallest number and the median of the data set, is 9.
The second quartile (Q2) is the median of the data. (22.5)
The third quartile (Q3) the middle value between the median and the highest value of the data, is 35.
Hope this helped!
Answer: correct answer is D.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There is a rule for logarithms that says:
.
This is actually called quotient rule and it's name is based off the right hand side of the equation there.
So you have that you can write your right hand side as:
.
So your equation is:
Now let's write this in the equivalent exponential notation:
So the value of the given fraction is .
Note! In general, the equivalent exponential form of is .