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larisa86 [58]
3 years ago
8

Need help with question

Mathematics
1 answer:
Vlad [161]3 years ago
5 0
Your answer is gonna be the second one!
You might be interested in
[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =
kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is  = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = 1-\frac{_{n}^{12}\textrm{P}}{12^2}

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= \frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})

= 0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0
3 years ago
If it takes earth 24 hours to complete a full rotation it takes saturn approximately 10 hours, 39 minutes and 24 seconds to comp
Igoryamba

The <em><u>correct answer</u></em> is:

639.4 minutes.

Explanation:

Saturn takes 10 hours, 39 minutes and 24 seconds to make a complete rotation.

10 hours × 60 minutes per hour = 600 minutes.

600 minutes + 39 minutes = 639 minutes.

24 seconds out of 60 seconds per minute = 24/60 = 0.4.

This gives us 639+0.4 = 639.4 minutes.

8 0
3 years ago
This is another linear equation
Helga [31]

y=mx+b is the answer

7 0
3 years ago
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of t
Mila [183]

Answer:

7069.5 ft^2

Step-by-step explanation:

Step one:

given data

dimension

radius of 15 feet

height of 60 feet

Required

The surface area of the tank

Step two:

A=2 \pi rh+2 \pi r^2

substitute

A= 2*3.142*15*60+2*3.142*15^2\\\\A=5655.6+1413.9\\\\A=7069.5

A= 7069.5 ft^2

4 0
3 years ago
Read 2 more answers
Shelly has a gift card for her favorite restaurant for $15.she wants to treat a group of friends to sandwiches at the restaurant
elena-14-01-66 [18.8K]

Answer:

The equation for that models the total money and sandwiches bought is $ 15 =  X × $4.50 , And The value of X is 3.33

Step-by-step explanation:

Given as :

The total value of gift card = $ 15

The cost of each sandwiches = $4.50

Let The number of sandwiches bought = X

So, According to question

The total value of gift card = cost of each sandwiches × number of sandwiches bought

Or, The total value of gift card = X × $4.50

Or,  $ 15 =  X × $4.50

∴       X = \frac{15}{4.50}

I.e     X = 3.33  

Hence The equation for that models the total money and sandwiches bought is $ 15 =  X × $4.50 , And The value of X is 3.33   Answer

3 0
4 years ago
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