Wayne Gretzky scored 50% more points than anyone else who ever played professional Hockey during his 20 seasons in the National Hockey League. He accomplished this amazing feat while playing in 280 fewer games than Gordy Howe, who is the previous record holder. The number of games he played during each season:
79,80,80,80,74 ,80,80,79,64,78,73,78,74,45,81,48,80,82,82,70.
a) The stem and leaf plot for the data can be comfortably obtained from the excel option as follows: XL STAT option in excel as follows:
1. In excel sheet choose XL STAT
2. Then in that choose the visualizing data- uni-variate plots.
3. In univariate plot – chart -select the stem and leaf plot.
4. In quantitative data select the data set and click ok.
A summary of the statistics and a stem and leaf plot can be obtained as follows.
0=0
5=60
10=100
15=140
17=156
33=284
I think
Answer
Part A
Probability that the next chocolate will have a toffee center = (8/11)
Part B
Expected number of chocolates with nut centers = 18 nut centers
Part C
Probability of the picking three consecutive chocolates with nut centers
= (27/1331)
= 0.0203
Explanation
The first 11 chocolates had 8 toffee and 3 nut centers.
The result from these first 11 picks will be used to calculate the rest of the probability or make predictions.
So, for the first part of the question.
Probability that the next chocolate will have a toffee center
= (8/11)
Part B
If there are 66 chocolates left in the bag, how many do you expect to have a nut center?
Probability of picking a chocolate with nut center = p = (3/11)
Number of chocolates in total = n = 66
Expected number of chocolates with nut centers
= np
= (66) (3/11)
= 18 nut centers
Part C
What is the probability that the next 3 pulled do have a nut in the center?
Probability of picking a chocolate with nut center = (3/11)
Probability of the picking three consecutive chocolates with nut centers
= (3/11) × (3/11) × (3/11)
= (27/1331)
= 0.0203
Hope this Helps!!!
