Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between - 1.97 and -0.45 and draw a sketch of the region. Click to view page 1 of the table, Click to view page 2 of the table. Sketch the region. Choose the correct graph below. OA. OB. Oc. -1.97 -0.45 -1.97 -0.45 -1.97 -0.45 The probability is (Round to four decimal places as needed.)

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### Probability and Normal Distribution

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between -1.97 and -0.45°C and draw a sketch of the region.

**Instructions:**

1. **Click to view table pages:**
   - [View page 1 of the table](#)
   - [View page 2 of the table](#)

2. **Sketch the region:**
   - Choose the correct graph below, illustrating the region under the normal distribution curve between -1.97 and -0.45.

**Graphs:**

- **Option A:** Displays a normal distribution curve with a shaded region between -1.97 and -0.45 to the left side under the curve.
- **Option B:** Displays a normal distribution curve with a shaded region between -1.97 and -0.45.
- **Option C:** Displays a normal distribution curve with a shaded region between -1.97 and -0.45 to the right side under the curve.

**Task:**

- Determine which graph most accurately represents the region.
- Calculate and enter the probability, rounding to four decimal places as needed.

**Interaction:**

- Click to select your answer(s).

**Graph Analysis:**

- Each graph features a bell-shaped curve representing the normal distribution.
- The shaded area represents the probability region of interest.
- The x-axis is marked at -1.97 and -0.45 to indicate the boundaries of the shaded region.

After choosing the correct graph and calculating the probability, submit your answer for evaluation.
Transcribed Image Text:### Probability and Normal Distribution Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between -1.97 and -0.45°C and draw a sketch of the region. **Instructions:** 1. **Click to view table pages:** - [View page 1 of the table](#) - [View page 2 of the table](#) 2. **Sketch the region:** - Choose the correct graph below, illustrating the region under the normal distribution curve between -1.97 and -0.45. **Graphs:** - **Option A:** Displays a normal distribution curve with a shaded region between -1.97 and -0.45 to the left side under the curve. - **Option B:** Displays a normal distribution curve with a shaded region between -1.97 and -0.45. - **Option C:** Displays a normal distribution curve with a shaded region between -1.97 and -0.45 to the right side under the curve. **Task:** - Determine which graph most accurately represents the region. - Calculate and enter the probability, rounding to four decimal places as needed. **Interaction:** - Click to select your answer(s). **Graph Analysis:** - Each graph features a bell-shaped curve representing the normal distribution. - The shaded area represents the probability region of interest. - The x-axis is marked at -1.97 and -0.45 to indicate the boundaries of the shaded region. After choosing the correct graph and calculating the probability, submit your answer for evaluation.
**Text for Educational Website:**

Based on a smartphone survey, assume that 51% of adults with smartphones use them in theaters. In a separate survey of 248 adults with smartphones, it is found that 110 use them in theaters.

a. If the 51% rate is correct, find the probability of getting 110 or fewer smartphone owners who use them in theaters.

b. Is the result of 110 significantly low?

---

a. If the 51% rate is correct, the probability of getting 110 or fewer smartphone owners who use them in theaters is [   ] (Round to four decimal places as needed.)

b. Is the result of 110 significantly low?

[   ] because the probability of this event is [   ] than the probability cutoff that corresponds to a significant event, which is [   ].

---

Enter your answer in the answer box.
Transcribed Image Text:**Text for Educational Website:** Based on a smartphone survey, assume that 51% of adults with smartphones use them in theaters. In a separate survey of 248 adults with smartphones, it is found that 110 use them in theaters. a. If the 51% rate is correct, find the probability of getting 110 or fewer smartphone owners who use them in theaters. b. Is the result of 110 significantly low? --- a. If the 51% rate is correct, the probability of getting 110 or fewer smartphone owners who use them in theaters is [ ] (Round to four decimal places as needed.) b. Is the result of 110 significantly low? [ ] because the probability of this event is [ ] than the probability cutoff that corresponds to a significant event, which is [ ]. --- Enter your answer in the answer box.
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