Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and
a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many days had a high temperature above 15∘ C15, degrees, start text, C, end text
2 answers:
*see attachment below showing the dot plot and box plot created by Tia
Answer:
Dot plot
Step-by-step explanation:
In a dot plot, the temperature of a day is represented by 1 dot. There are 30 dots on the box plot shown in the attachment that was made by Tia.
This dot plot display makes it easier to find how many days had a temperature that is higher than 15°.
Thus, from the dot plot, we have:
2 dots representing 2 days having a temperature of 16°C each
2 days also have daily temperature of 17°C
2 days have temperature of 18°C as well, and
1 day has temperature of 19° C.
Therefore, the number of days that had a temperature above 15°C is 7 days.
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Answer:
(a)Charlie is right
(b)$0
Step-by-step explanation:
(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.
In the game, the possible outcomes are: HH, HT, TH and TT.
Charlie wins when the outcome is HH, TT
- P(Charlie Wins)=2/4
- P(Charlie Losses)=2/4
Lucy wins when the outcome is HT or TH
- P(Lucy Wins)=2/4
- P(Lucy Losses)=2/4
Therefore, the game is fair. Charlie is right.
(b)
If the outcome is HH, Lucy pays $3.
If the outcome is HT or TH, Lucy gets $2.
If the outcome is TT, Lucy pays $1.
The probability distribution of Lucy's profit is given below:
Expected Profit
Lucy's expected profit from the game is $0.
Y=2-x^2
Vertex ( 0, 2 )
Focus : ( 0, 7/4 )
Axis of symmetry : x = 0
Directrix : y = 9/4
Vertex ( 0, 2 )
Focus : ( 0, 7/4 )
Axis of symmetry : x = 0
Directrix : y = 9/4