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
Well you see 0.35 would be larger because u need to add 0 to 0.35 cause there isnt a thousandth place for it and 0.062 has thousandth place which is the 2 so ya thats the difference 0.35 is larger than 0.062 and 0.35 doesnt have a thousandth place like 0.062 it has thousandth place which i told u is 2
Answer:
3.2
Step-by-step explanation:
Add up the first group then add up the second group then divide the group Y by group X
round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth’s place (the first digit to the right of the decimal point).
Hope This Helps bud ^^
Answer:
$.56
Step-by-step explanation:
The first minute is .50 cents and the subtotal was 5.60. Subtract for the first minute to get the subtotal for 9 minutes.
(5.60-.50=5.10)
5.10 is the amount for 9 minutes so now we will divide to get the price for each minute.
(5.10÷9=.56)
This means each minute after the first minute is $.56 cents.
Answer:
2.75
Step-by-step explanation:
0.3,1.5,1.5,1.5,2.6,2.9,3.8,3.8,4.2,9.1
(smaller to greater)
middle of this is 2.6 and 2.9
so, 2.6+2.9=5.5
now we divide it by 2
so, 5.5/2=2.75
