Answer:
(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) Upper confidence bound = 0.0787
Step-by-step explanation:
(a) The confidence interval for p (proportion) can be calculated as
NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.
For a 95% two-sided confidence interval, z=±1.96, so
The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) The confidence interval now has only an upper limit, so z is now 1.64.
The confidence interval is: -∞ ≤ π ≤ 0.0787.
Answer:
$6.39
Step-by-step explanation:
Just add the cost of everything
3.18 + 1.25 + 1.96 = 6.39
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:
The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:
He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:
The standard deviation is 4.87 shots.
Answer:
<h2>i) 3</h2><h2>ii) 5</h2>
Step-by-step explanation:
Let H be the set of students who play Hokey
V be the set of students who play Volleyball
S be the set of students who play Soccer
======================================
card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]
= 73 - [50 + (58-50) + (62-50)]
= 73 - [50 + 8 + 12]
= 73 - 70
= 3
………………………………………………
Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]
= 100 - 95
= 5
…………………
<u><em>Note</em></u> :
A Venn diagram might be helpful in such case.
What is the length of the longest lead? 1 3/4
What is the length of the shortest lead? 1/4
What is the difference between the longest lead and the shortest lead? 1 1/2
What size lead did most students have? 1/2
What was the sum of the two shortest lead lengths? 3/4
What was the difference between the second shortest and the longest lead? 1/4
