Answer:
See explanation
Step-by-step explanation:
Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then
a) One randomly selected person preferes aisle seat with probability
b) Two randomly selected people both prefer aisle seat (with replacement) is
c) Two randomly selected people both prefer aisle seat (without replacement) is
Answer:
(a-1) 22 rookies receiving a rating of 4 or better.
(a-2) 14 rookies received a rating of 2 or worse.
(b-1) Constructed below in explanation.
(b-2) 8% of total rookies received a rating of 5.
Step-by-step explanation:
We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.
The frequency distribution constructed is given below:
Rating Frequency
1 4
2 10 where ranking of 1 indicate a poor prospect whereas
3 14 ranking of 5 indicate an excellent prospect.
4 18
5 4
(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5
So, by seeing the frequency distribution 18 rookies received a rating of
4 and 4 rookies received a rating of 5.
Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.
(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +
Rating of 1
So, by seeing the frequency distribution 10 rookies received a rating of
2 and 4 rookies received a rating of 1.
Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.
(b-1) Relative Frequency is calculated as = Each frequency value /
Total Frequency
Rating Frequency(f) Relative Frequency
1 4 4 / 50 = 0.08
2 10 10 / 50 = 0.2
3 14 14 / 50 = 0.28
4 18 18 / 50 = 0.36
5 <u> 4 </u> 4 / 50 = 0.08
<u>= 50 </u>
Hence, this is the required relative frequency distribution.
(b-2) To calculate what percent received a rating of 5 is given by equation :
<em> x% of 50 = 4 </em> {Here 4 because 4 rookies received rating of 5}
x = = 8% .
Therefore, 8% of total rookies received a rating of 5.