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Verdich [7]
3 years ago
6

Please help me out :)

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

kjhgfdzvbjhgfxzawertyuikmnbsertyujnbv

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Step-by-step explanation:

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Ms. Mary picks up Ed from art class every 3rd day and Mary from music class every 5th day. What is the first day MS. Mary will n
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The 15th day because 3x5=15  5x3=15
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There are 10 marbles in a bag. Tyrell draws one marble out at a time without looking and replaces it in the bag. Tyrell did this
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The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among
jeyben [28]

Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(c) The value of P(at most one) is 0.253.

(d) The event is not unusual.

Step-by-step explanation:

Let <em>X</em> = number of households watching the show.

The probability of the random variable <em>x</em> is, P (X) = <em>p</em> = 0.18.

The sample selected for the survey is of size, <em>n</em> = 14

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 14 and <em>p</em> = 0.18.

The probability of a Binomial distribution is computed using the formula:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-0.062\\=0.938

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

             ={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

5 0
3 years ago
What is the common ratio between successive terms in the sequence<br> 2,4,8,-16, 32, 64,
marysya [2.9K]

Answer: The sequence does not have common ratio.

Step-by-step explanation:

By definition, a sequence with a constant ratio (common ratio) between terms is called a "Geometric sequence". In order to find the common ratio, it is necessary to divide any term in the sequence by the previous term.

In this case, given the sequence:

2,4,8,-16, 32, 64,

We get:

4\div2=2\\\\8\div4=2\\\\-16\div8=-2\\\\32\div(-16)=-2\\\\64\div32=2

Since the ratios between the terms are not constant, we can conclude that <em>the sequence does not have common ratio.</em>

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