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DENIUS [597]
3 years ago
12

There is a deck of 70 flashcards and each card has a different number ranging from 1 to 70. Find the theoretical probability of

the event when picking from a deck of flashcards. ​P(the number is even​) ​P(the number is even​)eqauls ​(Simplify your​ answer.)
Mathematics
1 answer:
bonufazy [111]3 years ago
4 0

Half the cards are even, 70/2 = 35 even cards.

The probability of picking an even card = 35/70, which reduces to 1/2

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The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc
Ludmilka [50]

Answer:

\mu = 12.1\\\sigma = 0.3

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.6-12.1}{0.3}

z=-1.67

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{12.6-12.1}{0.3}

z=1.67

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence  the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than  alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

3 0
3 years ago
OK. these questions are worth ALL my points (55) !
Ratling [72]

Answer:

1. -7

2. 212

3. -49

4.-1,991

5. 78

6. -16

7. 2

8. 100

9. 16

10. 16

11. 13

12. 75

13. |12| = 12

14.|12| = 12

15. |8|

16.| 10|

17.15

18. 1,400

Step-by-step explanation:

6 0
3 years ago
Solve any evens for 20 points apiece
Vlad1618 [11]
? what do you mean. do you have questions that need to be solved?
5 0
3 years ago
If two lines have an identical slope, and are 3 units apart on the x-axis, where will they cross?
Firlakuza [10]

Answer:

no

Step-by-step explanation:

If the lines have identical slopes then they are parallel and do not intersect.

7 0
3 years ago
Tanya drove 312 hours and used 13 tank of gas. For how long could Tanya drive using​ 12 ​tank of gas? In simplest form.
madreJ [45]
312/13=24
24*12= 288 hours
5 0
3 years ago
Read 2 more answers
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